The plastic bottles that hold body wash is made of various plastics. I found bottles made of #1 which is PET and others were #3 which is PVC. PET or PETE is very common and usually recyclable. PVC is one of the nastier plastics to manufacture and releases toxins in its final form. It’s a plastic to avoid.
These two plastic products are really common now. They are almost considered THE way to shower. The problem is that when the bottle of body wash is used up, there are 2 items of plastic waste leftover. It is very easy to take your shower, get really clean and leave no plastic waste. Simply use a cotton wash cloth and a bar of soap. There are many healthy homemade soaps available that have no perfumes, no detergents, and no sodium laurel sulfates.