Varied root supplies affect the long life and looks of implanted cactus:

https://lanepjzq646.bravesites.com/entries/general/The-Pros-and-Cons-of-Grafted-Cactus-vs-Own-Origin-Cactus

Myrtillocactus geometrizans and Harrisia jusbertii are reputable choices, for different environments, making sure lasting grafts. Acanthocerous sp. is a fast-growing origin stock, although it presents challenges