72585988 has 12 divisors (see below), whose sum is σ = 134497692. Its totient is φ = 34158080.

The previous prime is 72585979. The next prime is 72586009. The reversal of 72585988 is 88958527.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20052484 + 52533504 = 4478^2 + 7248^2 .

It is a super-2 number, since 2×72585988² = 10537451307872288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 533653 + ... + 533788.

It is an arithmetic number, because the mean of its divisors is an integer number (11208141).

Almost surely, 2^72585988 is an apocalyptic number.

It is an amenable number.

72585988 is a deficient number, since it is larger than the sum of its proper divisors (61911704).

72585988 is a wasteful number, since it uses less digits than its factorization.

72585988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067462 (or 1067460 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 52.

The square root of 72585988 is about 8519.7410758778. The cubic root of 72585988 is about 417.1423315142.

The spelling of 72585988 in words is "seventy-two million, five hundred eighty-five thousand, nine hundred eighty-eight".