72712 has 16 divisors (see below), whose sum is σ = 139500. Its totient is φ = 35520.

The previous prime is 72707. The next prime is 72719. The reversal of 72712 is 21727.

It can be written as a sum of positive squares in 2 ways, for example, as 54756 + 17956 = 234^2 + 134^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72712.

It is not an unprimeable number, because it can be changed into a prime (72719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 414 + ... + 562.

2⁷²⁷¹² is an apocalyptic number.

It is an amenable number.

72712 is a deficient number, since it is larger than the sum of its proper divisors (66788).

72712 is a wasteful number, since it uses less digits than its factorization.

72712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its digits is 196, while the sum is 19.

The square root of 72712 is about 269.6516271043. The cubic root of 72712 is about 41.7383583543.

It can be divided in two parts, 72 and 712, that added together give a square (784 = 28²).

The spelling of 72712 in words is "seventy-two thousand, seven hundred twelve", and thus it is an iban number.