72772588 has 48 divisors (see below), whose sum is σ = 149022720. Its totient is φ = 30453696.

The previous prime is 72772577. The next prime is 72772589. The reversal of 72772588 is 88527727.

It is not an unprimeable number, because it can be changed into a prime (72772589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369306 + ... + 369502.

It is an arithmetic number, because the mean of its divisors is an integer number (3104640).

Almost surely, 2^72772588 is an apocalyptic number.

It is an amenable number.

72772588 is an abundant number, since it is smaller than the sum of its proper divisors (76250132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72772588 is a wasteful number, since it uses less digits than its factorization.

72772588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 452 counting only the distinct ones).

The product of its digits is 439040, while the sum is 46.

The square root of 72772588 is about 8530.6850838605. The cubic root of 72772588 is about 417.4994810373.

The spelling of 72772588 in words is "seventy-two million, seven hundred seventy-two thousand, five hundred eighty-eight".