The interior shouldn't be a problem; I'd guess it's lined with stainless steel, so will clean easily with a panscrub should anything stick to it.
As for the outside; you can get specialist cleaners, if you want it to look shiny and new all the time. Don't use a metallic panscrub, as they scar the outside which makes the corrosion worse.
However i'd say they look better when they develop a patina of use