Can it be fixed? If so, how much? Nokia E72.

Looks like it. Are you talking about the outer shell or the actual display (ie, does the display still work)?

http://thenokiablog.com/2009/04/26/how-to-disassemble-nokia-e71-replace-faceplate/

(E71 and E72 seem to be physically similar)

Superb. Thanks, Cougar. Yes, everything works. Just a hairline crack right across the screen. Thanks for that.

Actually, being a bit of a clumsy oaf with things like this, does anyone know if there's a place where you can get these things fixed while you wait? Is it worth returning to shop (vodafone) or am I likely to encounter a sucking in through teeth and a big bill?

There are high street places that do phone repairs, even iPhones. My old 3G had damage around the headphone socket so I went to a place in Bath who said they could fix screens, but the backs were a lot more complicated, so it might be worth doing a google search around your local area, I'm sure you'll find something nearby.