What color are the flowers? I'm not sure the number of spines is necessarily informative, they can be variable in Pachypodium. The plant is from Madagascar, but I couldn't be more specific than that.
The plant is not succulentum or saundersii, based on the growth habit. The former has an underground caudex, the latter starts out bottle or blob shaped before the main stem dies back. It is probably not baronii, which is not generally a plant you're going to have without knowing it, since it's rare and difficult.
There is a group with yellow flowers that includes rosulatum and horombense and a few others where I have trouble telling plants apart. See this informative flower poster for a pretty good family portrait. I'm not sure you're going to be able to pin anything down but the flower color at least puts you in a particular group.
https://www.out-of-africa-plan...
More general info about the genus here.
The Pachypodiums Database
Apart from the ID question, the plant has apparently been grown for so long in sideways light without being turned that it is now facing sideways. Which is not necessarily a big deal, though not something I would do, just out of the interests of stability. It certainly gives the plant a lot of Kraken-like character. If you want to keep this form, be sure it continues to point toward the light. If you change the direction of the light, the plant will also change direction.
