They aren't. A lot of 1972 quarters were minted, none of them contain silver. They are worth only $.25.
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No 1972 US quarters have silver in them, the last year for silver quarters was 1964. so spend it
Not much more than circulated state quarters. They're not old or rare enough to be especially valuable.
All circulation-strike quarters dated 1965 and later are made of copper-nickel, not silver. There are no major varieties among 1972 quarters, so anything that you find in change will only be worth 25¢.
The 1972 American Revolution Bicentennial coin is made from brass. There are versions of the coin that are somewhat valuable.
Do you mean rarest in terms of the number of coins issued, or in terms of values? Quarters have been issued for over 200 years and there are some enormously valuable specimens, including overdates and early proofs. You can scan a list of prices by looking at http://www.numismedia.com/fmv/prices/bstqtr/pricesgd.shtml and http://www.numismedia.com/fmv/prices/setqtr/pricesgd.shtml, for example. Assuming you are referring to Washington quarters, the rarest and most valuable are the 1932-D and 1932-S