Hi Alli and Elaine
I do not have that particular variety of Euphorbia. And what a lovely Euphorbia that is!
But for the couple of Euphorbias that I have, at times, it is just a signal the plant is out of its cold season dormancy and is back to its active growing phase as temps go warmer, so I would put that plant gradually outdoors if you can, or if it gets too rainy, in a protected area with part sun/part shade. Euphorbias love warm temps and lots of light, even better if it gets direct sun. I usually water more, especially if temps are consistently hovering at 80F and higher. It loves to drink a little more compared to cacti. That may help the pointy upper part to plump up faster, but do wait for temps to be warm, and allow intervals in watering.
As already suggested, wear gloves, you can just easily pull them apart or use a sharp knife to cut through a bunch, set aside and let dry bit so cut areas gets callused before sticking back to soil if you wish to repot some of them. Depending on your temps, I would do that repot in late Spring to early Summer.