72390588 has 24 divisors (see below), whose sum is σ = 169849680. Its totient is φ = 23996160.

The previous prime is 72390559. The next prime is 72390613. The reversal of 72390588 is 88509327.

It is a super-3 number, since 3×72390588³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14493 + ... + 18836.

It is an arithmetic number, because the mean of its divisors is an integer number (7077070).

Almost surely, 2^72390588 is an apocalyptic number.

It is an amenable number.

72390588 is an abundant number, since it is smaller than the sum of its proper divisors (97459092).

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

72390588 is a wasteful number, since it uses less digits than its factorization.

72390588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33517 (or 33515 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 72390588 is about 8508.2658632650. The cubic root of 72390588 is about 416.7676822458.

The spelling of 72390588 in words is "seventy-two million, three hundred ninety thousand, five hundred eighty-eight".