72572 has 6 divisors (see below), whose sum is σ = 127008. Its totient is φ = 36284.

The previous prime is 72559. The next prime is 72577. The reversal of 72572 is 27527.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72572.

It is not an unprimeable number, because it can be changed into a prime (72577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9068 + ... + 9075.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2⁷²⁵⁷² is an apocalyptic number.

It is an amenable number.

72572 is a deficient number, since it is larger than the sum of its proper divisors (54436).

72572 is a wasteful number, since it uses less digits than its factorization.

72572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18147 (or 18145 counting only the distinct ones).

The product of its digits is 980, while the sum is 23.

The square root of 72572 is about 269.3919078220. The cubic root of 72572 is about 41.7115534048.

It can be divided in two parts, 725 and 72, that added together give a palindrome (797).

The spelling of 72572 in words is "seventy-two thousand, five hundred seventy-two".