Certainly not the easiest one to pronounce, but this synthetic ingredient is a good emulsifier and surfactant, very gentle on the skin.
Emulsifiers are what hold the ingredients of a formula together. They attract oil and water-based materials and help them mix well. Surfactants do the same thing, but they also lather and cleanse the skin and hair.
Sodium laurylglucosides hydroxypropylsulfonate is produced by a chemical company in the United States and is made from corn, soy, coconut and silica. It is more and more often used in cosmetics as a very mild alternative to sulfates.