72586512 has 30 divisors (see below), whose sum is σ = 203141822. Its totient is φ = 24195456.

The previous prime is 72586477. The next prime is 72586513. The reversal of 72586512 is 21568527.

It is a happy number.

72586512 is a `hidden beast` number, since 72 + 586 + 5 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72182016 + 404496 = 8496^2 + 636^2 .

It is a super-2 number, since 2×72586512² = 10537603448652288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72586513) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 251893 + ... + 252180.

Almost surely, 2^72586512 is an apocalyptic number.

72586512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72586512 is an abundant number, since it is smaller than the sum of its proper divisors (130555310).

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

72586512 is a wasteful number, since it uses less digits than its factorization.

72586512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504087 (or 504078 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 72586512 is about 8519.7718279306. The cubic root of 72586512 is about 417.1433352987.

The spelling of 72586512 in words is "seventy-two million, five hundred eighty-six thousand, five hundred twelve".