72045831 has 32 divisors (see below), whose sum is σ = 116766720. Its totient is φ = 38908800.

The previous prime is 72045811. The next prime is 72045851. The reversal of 72045831 is 13854027.

It is an interprime number because it is at equal distance from previous prime (72045811) and next prime (72045851).

It is not a de Polignac number, because 72045831 - 2¹⁰ = 72044807 is a prime.

It is a super-2 number, since 2×72045831² = 10381203528961122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72045811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9546 + ... + 15336.

It is an arithmetic number, because the mean of its divisors is an integer number (3648960).

Almost surely, 2^72045831 is an apocalyptic number.

72045831 is a deficient number, since it is larger than the sum of its proper divisors (44720889).

72045831 is a wasteful number, since it uses less digits than its factorization.

72045831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 72045831 is about 8487.9815621854. The cubic root of 72045831 is about 416.1050165559.

Adding to 72045831 its reverse (13854027), we get a palindrome (85899858).

The spelling of 72045831 in words is "seventy-two million, forty-five thousand, eight hundred thirty-one".