Phicol was the chief captain of the army of Abimelech, the Philistine king of Gerar. He entered into an alliance with Abraham with reference to a certain well which, from this circumstance, was called Beersheba, "the well of the oath" (Genesis 21:22,32; 26:26).
The Phicol mentioned in Genesis 26:26 is in relation to an agreement between Isaac and Abimelech, whereas the Phicol mentioned in Genesis 21:22, 32 is in relation to an agreement between Abraham and Abimelech. Therefore, the name Phicol may be a namesake handed down through a generation or possibly even the name of a title (both are referred to as "commander of the army"), such as Abimelech. 
- Easton's Bible Dictionary (1897), "Phicol"
- Walvoord, John F. and Zuck, Roy B. The Bible Knowledge Commentary, ChariotVictor Publishing, 1985, p. 71.
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