I'm going to tell my dad to stop talking about how much random people like me
Have you put any thought into how this will affect your dad?
It's going to give him a massive blow to his ego.
It's understandable that you might be embarrassed by hearing your father's compliments on how well-liked you are as it is a bit like bragging. It's wrong to exaggerate a person's accomplishments to make yourself look good like what your father is doing. However keep in mind that your father is proud of how charismatic you are and so do not chastise him too much for his actions--just say that you are looking to keep your social profile low and are not looking to make any big waves.
He shouldn't go about bragging about me and shouldn't share everything about me, just because he's a dad.
I get that it's wrong to brag, but make sure you focus on how it affects you and now what he's doing wrong.