What polygon has a minimum of 72 degrees

It is maybe a Hexagon but it could be some type of triangle. Look it up

If you are talking about the sum of interior angles, it is greater than or equal 180 degree for any polygons.

I believe you are asking about one interior angle of a n-sided polygon. Then for n greater than or equal 4, it must contain at least one interior angle greater than 72 degrees.