What are some typical reasons for a professor to not list their publications on their school website I know of a full professor who doesn't list any of his publications on his website.  He just gives name, title, email address and phone number.

Nothing more, literally.

When I search for his work internally through our library he has plenty of published work.

What are some typical reasons why he wouldn't want to list his papers online, especially in the publish or perish culture of academia?

I notice some other full professors do this too, nothing but a name, email and phone number is on their school website.  No advertising their work at all.
There are several reasons why this would be the case. The most prominent of which is simply they don't have the time to do it. Most institutions have departmental and faculty websites which contain such information (depending on how much the University/institute keeps up to date with it) and is managed by someone other than the professor.

Sometimes, the role of updating the website is relegated to lab members (postdocs/students/assistants) which may be people who don't know how to build or edit websites or aren't reliably updating them.

For example, I've been given reign over our lab's personal website (we have an official institutional one) but I have no idea how to code html or any other web-based programming. When trying to get personal statements or papers of note from lab members, very little will people actually reply with these details making the website partially filled out.

If you really care about the publications from a professor, look them up wherever your primary resource for articles is There's no hiding on there and I would be highly skeptical about it being an issue of 'wanting to hide their work'.