Is it safe to eat the skin of a potato? Is it safe to eat the skin of a baked or boiled potato, or are there any health or sanitary reasons not to eat it?

Contrarily, are there any reasons to eat it, e.g. does the skin contain vitamins or minerals which you would cut off by peeling?

EDIT: There is a related question Do I have to peel red potatoes before baking them? that asks specifically for red potatoes. This question covers yellow potatoes as well.
It's usually safe to eat the skins of potatoes.

If there is a greenish tint under the skin, you'll want to peel down to below the greenish bit.  If you don't, it could lead to solanine poisoning.

See Is it safe to eat potatoes that have sprouted? and Are Green Potatoes OK?