72768125 has 20 divisors (see below), whose sum is σ = 91592556. Its totient is φ = 57792000.

The previous prime is 72768061. The next prime is 72768127. The reversal of 72768125 is 52186727.

72768125 = T₈₆ + T₈₇ + ... + T₇₅₈.

It can be written as a sum of positive squares in 10 ways, for example, as 45873529 + 26894596 = 6773^2 + 5186^2 .

It is not a de Polignac number, because 72768125 - 2⁶ = 72768061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72768127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 107789 + ... + 108461.

Almost surely, 2^72768125 is an apocalyptic number.

It is an amenable number.

72768125 is a deficient number, since it is larger than the sum of its proper divisors (18824431).

72768125 is an equidigital number, since it uses as much as digits as its factorization.

72768125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 851 counting only the distinct ones).

The product of its digits is 47040, while the sum is 38.

The square root of 72768125 is about 8530.4234947627. The cubic root of 72768125 is about 417.4909460549.

The spelling of 72768125 in words is "seventy-two million, seven hundred sixty-eight thousand, one hundred twenty-five".