What you have is Euphorbia milii, mine is a Euphorbia too, but it is a different one. I'm having a senior moment so I can't remember which
LOL. There are SO many Euphorbias, all have white sap which is toxic.
The Euphorbia milii (aka Crown of Thorns) is all over the place and I do like them a lot, there are some nice large-bloomed varieties these days, and they are winterbloomers for me which is great since my beloved plumeria go bare at that time! They are pretty easy from cuttings - so we could always do a trade!!