72852588 has 48 divisors (see below), whose sum is σ = 189504000. Its totient is φ = 24203664.

The previous prime is 72852583. The next prime is 72852601. The reversal of 72852588 is 88525827.

It is not an unprimeable number, because it can be changed into a prime (72852583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37833 + ... + 39711.

It is an arithmetic number, because the mean of its divisors is an integer number (3948000).

Almost surely, 2^72852588 is an apocalyptic number.

It is an amenable number.

72852588 is an abundant number, since it is smaller than the sum of its proper divisors (116651412).

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

72852588 is a wasteful number, since it uses less digits than its factorization.

72852588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2243 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 72852588 is about 8535.3727510871. The cubic root of 72852588 is about 417.6524128295.

The spelling of 72852588 in words is "seventy-two million, eight hundred fifty-two thousand, five hundred eighty-eight".