72612531 has 12 divisors (see below), whose sum is σ = 108769752. Its totient is φ = 48408192.

The previous prime is 72612521. The next prime is 72612563. The reversal of 72612531 is 13521627.

It is a happy number.

72612531 is a `hidden beast` number, since 72 + 61 + 2 + 531 = 666.

It is not a de Polignac number, because 72612531 - 2¹⁷ = 72481459 is a prime.

It is a super-2 number, since 2×72612531² = 10545159316451922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 72612495 and 72612504.

It is not an unprimeable number, because it can be changed into a prime (72612511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149166 + ... + 149651.

It is an arithmetic number, because the mean of its divisors is an integer number (9064146).

Almost surely, 2^72612531 is an apocalyptic number.

72612531 is a deficient number, since it is larger than the sum of its proper divisors (36157221).

72612531 is an equidigital number, since it uses as much as digits as its factorization.

72612531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298832 (or 298820 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 72612531 is about 8521.2986686303. The cubic root of 72612531 is about 417.1931717194.

The spelling of 72612531 in words is "seventy-two million, six hundred twelve thousand, five hundred thirty-one".