taxes on the NFL

Not sure if I heard this right on WGIR-FM today but they said that the NFL does not pay taxes. Look it, I love football including the NFL but not paying taxes? That don't sound right. They make a boat load more than me and I pay taxes, how do they get off not paying taxes, they are not a charitable organization, they are not a church, they are not the Boy's and Girls Club of America, all of which we probably don't have a problem if they don't pay taxes but the NFL not paying taxes...That doesn't sit right with me, how about you?