Hey there! That's a great question. The value of a 1972 half dollar really depends on its condition and where it was minted.
For most 1972 Kennedy half dollars that you might find in circulation, they are worth their face value of 50 cents. This is because they are very common and were not made with any silver. Instead, they have a copper-nickel clad composition, so there's no precious metal value to them. A heavily used and worn coin is almost always just worth 50 cents.
However, the value can increase if the coin is in uncirculated, or "mint," condition. These are coins that were never used as money and look brand new. The provided eBay listing shows a high-grade, uncirculated 1972 half dollar from a mint set selling for around $1.65. This gives you a good idea of what a collector might pay for a pristine example.
The coin's mint mark can also play a small role, especially for uncirculated coins. In 1972, half dollars were produced in Philadelphia (which has no mint mark), Denver (a "D" mint mark), and San Francisco (an "S" mint mark). While there isn't a huge difference in value between them for common coins, collectors sometimes seek out specific ones for their collections.
So, to sum it up: if your 1972 half dollar looks like it's been in a cash register, it's worth 50 cents. But if it's shiny and looks like it just left the mint, it could be worth a few dollars to the right person.
