That's the problem. I don't think you can generalize and there probably many different kinds of "spiritual" persons.
I understand this as there being some higher power which may not be personal. For example someone I know believes everything and everyone in the universe is connected because we are all energy. I have yet to grasp the practical implications of this. However in his view this makes certain concepts like homeopathy, light nourishment or meridian lines (traditional chinese medicine) at least plausible.
Another person I knew practised
Reiki, yet another believed in Tarot.
So whenever I hear "spiritual" I am reminded of esoteric or new age practices where the believer picked and chose whatever makes sense to him because he feels there is more to this life than just he physical world.