72572031 has 40 divisors (see below), whose sum is σ = 131202720. Its totient is φ = 39025152.

The previous prime is 72572029. The next prime is 72572041. The reversal of 72572031 is 13027527.

It is not a de Polignac number, because 72572031 - 2¹ = 72572029 is a prime.

It is a super-2 number, since 2×72572031² = 10533399366929922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 72571986 and 72572004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72572041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5875 + ... + 13403.

It is an arithmetic number, because the mean of its divisors is an integer number (3280068).

Almost surely, 2^72572031 is an apocalyptic number.

72572031 is a deficient number, since it is larger than the sum of its proper divisors (58630689).

72572031 is a wasteful number, since it uses less digits than its factorization.

72572031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7565 (or 7556 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72572031 is about 8518.9219388371. The cubic root of 72572031 is about 417.1155934395.

Adding to 72572031 its reverse (13027527), we get a palindrome (85599558).

The spelling of 72572031 in words is "seventy-two million, five hundred seventy-two thousand, thirty-one".