Good Riddles

Question: A man taking the census walks up to the apartment of a mathematician and asks him if he has any children and how old they are. The mathematician says "I have three daughters and the product of their ages is 72." The man tells the mathematician that he needs more information, so the mathematician tells him "The sum of their ages is equal to our apartment number." The man still needs more information so the mathematician tells him "My oldest daughter has her own bed and the other two share bunk beds."

How old are his daughters?

Question: Which comes first, chicken or egg?

Question: I can be half without getting thinner.
I can shine with no fire.
I can be hidden but never taken.
I can stay dry while moving the ocean.

What am I?

Question: A rooster lays an egg at 6:00 AM. When does the farmer find it?

Question: A man is found dead in a phone booth in a pool of blood. The glass on either end of the phone booth is broken and the phone is hanging. Just outside of the phone booth is a bucket and a stick.

What happened?