72331713 has 24 divisors (see below), whose sum is σ = 108501120. Its totient is φ = 46378080.

The previous prime is 72331703. The next prime is 72331717. The reversal of 72331713 is 31713327.

It is not a de Polignac number, because 72331713 - 2¹⁴ = 72315329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72331717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112170 + ... + 112812.

It is an arithmetic number, because the mean of its divisors is an integer number (4520880).

Almost surely, 2^72331713 is an apocalyptic number.

It is an amenable number.

72331713 is a deficient number, since it is larger than the sum of its proper divisors (36169407).

72331713 is a wasteful number, since it uses less digits than its factorization.

72331713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1106 counting only the distinct ones).

The product of its digits is 2646, while the sum is 27.

The square root of 72331713 is about 8504.8052887765. The cubic root of 72331713 is about 416.6546663922.

It can be divided in two parts, 7 and 2331713, that added together give a triangular number (2331720 = T₂₁₅₉).

The spelling of 72331713 in words is "seventy-two million, three hundred thirty-one thousand, seven hundred thirteen".