72717825 has 24 divisors (see below), whose sum is σ = 121041856. Its totient is φ = 38520000.

The previous prime is 72717793. The next prime is 72717829. The reversal of 72717825 is 52871727.

It is not a de Polignac number, because 72717825 - 2⁵ = 72717793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72717829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8115 + ... + 14535.

Almost surely, 2^72717825 is an apocalyptic number.

72717825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72717825 is a deficient number, since it is larger than the sum of its proper divisors (48324031).

72717825 is a wasteful number, since it uses less digits than its factorization.

72717825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6585 (or 6580 counting only the distinct ones).

The product of its digits is 54880, while the sum is 39.

The square root of 72717825 is about 8527.4747141226. The cubic root of 72717825 is about 417.3947288579.

The spelling of 72717825 in words is "seventy-two million, seven hundred seventeen thousand, eight hundred twenty-five".