If you look up the history and mintages of USA coins you'll notice the mint made many coins without a mint mark. They were struck at Philadelphia. The mint made over 309 million 1936 penny's without a mint mark. Sometimes you'll see online people trying to sell one for a lot of money without mint mark. They are either deliberately trying to deceive people or don't know.
Your 1936 penny is circulated with some damage, likely worth less than $2 but you can check ebay sold listings for what they've sold for. Condition is very important to the value of a coin. If interested you can buy the current Guide Book of United States coins for coin values.
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