72812313 has 48 divisors (see below), whose sum is σ = 128793600. Its totient is φ = 38711520.

The previous prime is 72812303. The next prime is 72812347. The reversal of 72812313 is 31321827.

It is not a de Polignac number, because 72812313 - 2⁴ = 72812297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72812303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70108 + ... + 71138.

It is an arithmetic number, because the mean of its divisors is an integer number (2683200).

Almost surely, 2^72812313 is an apocalyptic number.

It is an amenable number.

72812313 is a deficient number, since it is larger than the sum of its proper divisors (55981287).

72812313 is a wasteful number, since it uses less digits than its factorization.

72812313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1119 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 72812313 is about 8533.0131255026. The cubic root of 72812313 is about 417.5754352321.

It can be divided in two parts, 728 and 12313, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 72812313 in words is "seventy-two million, eight hundred twelve thousand, three hundred thirteen".