diff --git a/build/build.py b/build/build.py
index 7c1af9951a..bbc1dfb1a3 100755
--- a/build/build.py
+++ b/build/build.py
@@ -60,13 +60,6 @@
     # about the old one.
     '--jscomp_off=deprecatedAnnotations',
 
-    # 'analyzerChecks' complains about countless instances of implicitly
-    # nullable types, plus a few other issues.  Even the closure library doesn't
-    # pass these checks, and the implicit nullability check in particular is
-    # over-zealous and unhelpful.  So we disable the whole category of
-    # 'analyzerChecks'.
-    '--jscomp_off=analyzerChecks',
-
     '--extra_annotation_name=listens',
     '--extra_annotation_name=exportDoc',
 
@@ -238,6 +231,7 @@ def build_raw(self, extra_opts):
                        'third_party', 'closure', 'compiler.jar')
     jar = shakaBuildHelpers.cygwin_safe_path(jar)
     files = [shakaBuildHelpers.cygwin_safe_path(f) for f in self.include]
+    files.sort()
 
     try:
       cmd_line = ['java', '-jar', jar] + closure_opts + extra_opts + files
diff --git a/build/check.py b/build/check.py
index f7ea652089..71b16d3488 100755
--- a/build/check.py
+++ b/build/check.py
@@ -131,7 +131,8 @@ def get(*args):
 
   # Ignore missing goog.require since we assume the whole library is
   # already included.
-  opts = ['--jscomp_off=missingRequire', '--checks-only', '-O', 'SIMPLE']
+  opts = ['--jscomp_off=missingRequire', '--jscomp_off=strictMissingRequire',
+          '--checks-only', '-O', 'SIMPLE']
   return test_build.build_raw(opts)
 
 
diff --git a/externs/htmltrackelement.js b/externs/htmltrackelement.js
deleted file mode 100644
index c018450019..0000000000
--- a/externs/htmltrackelement.js
+++ /dev/null
@@ -1,57 +0,0 @@
-/**
- * @license
- * Copyright 2016 Google Inc.
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- *     http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-/**
- * @fileoverview Externs for HTMLTrackElement.
- * @externs
- */
-
-
-
-/**
- * @constructor
- * @extends {HTMLElement}
- */
-function HTMLTrackElement() {}
-
-
-/** @type {string} */
-HTMLTrackElement.prototype.kind;
-
-
-/** @type {string} */
-HTMLTrackElement.prototype.src;
-
-
-/** @type {string} */
-HTMLTrackElement.prototype.srclang;
-
-
-/** @type {string} */
-HTMLTrackElement.prototype.label;
-
-
-/** @type {boolean} */
-HTMLTrackElement.prototype.default;
-
-
-/** @const {TextTrack} */
-HTMLTrackElement.prototype.track;
-
-
-/** @const {string} */
-TextTrack.prototype.id;
diff --git a/test/media/drm_engine_integration.js b/test/media/drm_engine_integration.js
index f5ac539daf..d5ddbb18b4 100644
--- a/test/media/drm_engine_integration.js
+++ b/test/media/drm_engine_integration.js
@@ -52,8 +52,8 @@ describe('DrmEngine', function() {
     jasmine.DEFAULT_TIMEOUT_INTERVAL = 12000;  // ms
 
     video = /** @type {HTMLVideoElement} */ (document.createElement('video'));
-    video.width = '600';
-    video.height = '400';
+    video.width = 600;
+    video.height = 400;
     video.muted = true;
     document.body.appendChild(video);
 
diff --git a/test/media/media_source_engine_integration.js b/test/media/media_source_engine_integration.js
index 033bacfa1c..c973b56fbd 100644
--- a/test/media/media_source_engine_integration.js
+++ b/test/media/media_source_engine_integration.js
@@ -57,8 +57,8 @@ describe('MediaSourceEngine', function() {
 
   beforeAll(function(done) {
     video = /** @type {HTMLVideoElement} */ (document.createElement('video'));
-    video.width = '600';
-    video.height = '400';
+    video.width = 600;
+    video.height = 400;
     document.body.appendChild(video);
 
     originalTimeout = jasmine.DEFAULT_TIMEOUT_INTERVAL;
diff --git a/test/media/streaming_engine_integration.js b/test/media/streaming_engine_integration.js
index 3644a949f7..6ca11061ea 100644
--- a/test/media/streaming_engine_integration.js
+++ b/test/media/streaming_engine_integration.js
@@ -72,8 +72,8 @@ describe('StreamingEngine', function() {
     jasmine.DEFAULT_TIMEOUT_INTERVAL = 90000;  // ms
 
     video = /** @type {HTMLVideoElement} */ (document.createElement('video'));
-    video.width = '600';
-    video.height = '400';
+    video.width = 600;
+    video.height = 400;
     video.muted = true;
     document.body.appendChild(video);
   });
diff --git a/test/offline/offline_integration.js b/test/offline/offline_integration.js
index b44c57e46f..973ef761e7 100644
--- a/test/offline/offline_integration.js
+++ b/test/offline/offline_integration.js
@@ -25,8 +25,8 @@ describe('Offline', function() {
 
   beforeAll(/** @suppress {accessControls} */ function(done) {
     video = /** @type {!HTMLVideoElement} */ (document.createElement('video'));
-    video.width = '600';
-    video.height = '400';
+    video.width = 600;
+    video.height = 400;
     video.muted = true;
     document.body.appendChild(video);
 
diff --git a/test/player_integration.js b/test/player_integration.js
index b6b81b4d41..b8bb65ebcc 100644
--- a/test/player_integration.js
+++ b/test/player_integration.js
@@ -33,8 +33,8 @@ describe('Player', function() {
 
   beforeAll(function(done) {
     video = /** @type {!HTMLVideoElement} */ (document.createElement('video'));
-    video.width = '600';
-    video.height = '400';
+    video.width = 600;
+    video.height = 400;
     video.muted = true;
     document.body.appendChild(video);
 
diff --git a/third_party/SUMMARY.txt b/third_party/SUMMARY.txt
index eb737c7621..0988aac4df 100644
--- a/third_party/SUMMARY.txt
+++ b/third_party/SUMMARY.txt
@@ -1,6 +1,5 @@
 closure/compiler.jar
-  The closure compiler, v20160208 + patches, by Google.
-  Cherry-picked 3734b26b to remove bogus arguments checks.
+  The closure compiler, v20160713, by Google.
   Apache v2.0 license.
   https://github.com/google/closure-compiler
 
diff --git a/third_party/closure/compiler.jar b/third_party/closure/compiler.jar
index b7545af814..6dff2d0444 100644
Binary files a/third_party/closure/compiler.jar and b/third_party/closure/compiler.jar differ