<P> The sum of Euler's totient function φ (x) over the first nineteen integers is 120 . </P> <P> 120 figures in Pierre de Fermat's modified Diophantine problem as the largest known integer of the sequence 1, 3, 8, 120 . Fermat wanted to find another positive integer that multiplied with any of the other numbers in the sequence yields a number that is one less than a square . Leonhard Euler also searched for this number, but failed to find it, but did find a fractional number that meets the other conditions, 777480 / 2879 . </P> <P> The internal angles of a regular hexagon (one where all sides and all angles are equal) are all 120 degrees . </P> <P> 120 is a Harshad number in base 10 . </P>

The largest number that is a factor of 72 and 120