Actually you have to be a little careful if you want to use acetone.
First as Donlos is indicating, you have to watch if you intend to use nail-polish remover. More so if you intend to keep the coin. First some products do not actually contain acetone... assuming you verified that, nail polish removers have nail softeners and other ingredients that will dry on the surface of your coin and cause unwanted discolouration over time. You will need to wash the coin under running water for an extended time to make sure to remove the contaminants. It is much better to use pure acetone which you can purchase at some drug stores or Canadian Tire stores.
Second, although acetone is not considered a dangerous / hazardous chemical it does cause irritation to the eyes and throat and so should be used in a well ventilated area. It is extremely flammable.
Third, you should not use acetone on copper coins. There is a photo-chemical reaction that can occur which will cause a discolouration of the surface of the coin. Not so cool. Nickel does not suffer from this same reaction.
Personally I prefer to use mineral spirits as a solvent when removing grunge from a coins surface. It doesn't have the same issue with copper and I find works just as well... especially for longer soaks. As with all solvents they should be used in a well ventilated area.