So, modern pennies are just copped plated zinc. But up to 1982 (barring some small interruptions like the 1943 steel penny) they were 95% copper. There was roughly 2.95 grams of copper in each penny.
Current copper prices seems to be approximately $12.31/kg or $0.0123/gram. That is about $0.036 per pre-1982 penny. Round down to 3 cents/penny to account for recycling costs. If you took all pre-1982 copper pennies you could out of circulation yourself you could make a 3x return!
(I have no idea how many pre-1982 pennies are still in circulation and it seems like this isn't public knowledge. Something tells me this endeavour to recycle them, as an individual, would never be fruitful. Also... my memory is that there is some question of legality in destroying currency en masse...)