Phoenix Cactus ID, please
Phoenix Cactus ID
It is some kind of cholla (there are tons of different kinds). I believe the new name for chollas is austrocylindropuntia (sp???). So I would look at pics of that group in the plant files.
There are two varieties of C. fulgida. This is the monstrose/cristate form of the 'mammillata ' variety. (C. fulgida var mammillata f. Monstrose / cristate) Boxing Glove Cholla.