Opuntia sphaerica C.F.Först. in Hamburger Garten- Blumenzeitung 17: 167. 1861
Opuntia sphaerica in Hamburger Garten- Blumenzeitung 17: 167. 1861
is basionym for Cumulopuntia sphaerica in Cact. Succ. J. (Los Angeles) 71(6): 324. 1999
is basionym for Tephrocactus sphaericus, Kaktus-ABC: 111. 1936 ["1935"]
is basionym for Austrocylindropuntia sphaerica in Tephrocactus Study Group 12(3): 42. 2006
is basionym for Sphaeropuntia sphaerica in Cactology 3 (Suppl. II): 1. 2012
Neotype (designated by Iliff, J.: 61): [icon] A photo of part of a plant collected by Rose from the source region in Britton & Rose, Cactaceae 1: 96, fig. 113. 1919 https://www.biodiversitylibrary.org/page/32090042