72056825 has 12 divisors (see below), whose sum is σ = 90686160. Its totient is φ = 56783760.

The previous prime is 72056819. The next prime is 72056869. The reversal of 72056825 is 52865027.

It is not a de Polignac number, because 72056825 - 2¹⁶ = 71991289 is a prime.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19835 + ... + 23184.

It is an arithmetic number, because the mean of its divisors is an integer number (7557180).

Almost surely, 2^72056825 is an apocalyptic number.

It is an amenable number.

72056825 is a deficient number, since it is larger than the sum of its proper divisors (18629335).

72056825 is a wasteful number, since it uses less digits than its factorization.

72056825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43096 (or 43091 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 72056825 is about 8488.6291590574. The cubic root of 72056825 is about 416.1261809815.

The spelling of 72056825 in words is "seventy-two million, fifty-six thousand, eight hundred twenty-five".