72492813 has 10 divisors (see below), whose sum is σ = 108291854. Its totient is φ = 48328488.

The previous prime is 72492799. The next prime is 72492881. The reversal of 72492813 is 31829427.

It can be written as a sum of positive squares in only one way, i.e., 71267364 + 1225449 = 8442^2 + 1107^2 .

It is not a de Polignac number, because 72492813 - 2²⁶ = 5383949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72492313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 447406 + ... + 447567.

Almost surely, 2^72492813 is an apocalyptic number.

It is an amenable number.

72492813 is a deficient number, since it is larger than the sum of its proper divisors (35799041).

72492813 is an equidigital number, since it uses as much as digits as its factorization.

72492813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894985 (or 894976 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 72492813 is about 8514.2711373317. The cubic root of 72492813 is about 416.9637668430.

The spelling of 72492813 in words is "seventy-two million, four hundred ninety-two thousand, eight hundred thirteen".