37572 has 24 divisors (see below), whose sum is σ = 91392. Its totient is φ = 12000.

The previous prime is 37571. The next prime is 37573. The reversal of 37572 is 27573.

It is an interprime number because it is at equal distance from previous prime (37571) and next prime (37573).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37572.

It is not an unprimeable number, because it can be changed into a prime (37571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322 + ... + 422.

It is an arithmetic number, because the mean of its divisors is an integer number (3808).

2³⁷⁵⁷² is an apocalyptic number.

It is an amenable number.

37572 is an abundant number, since it is smaller than the sum of its proper divisors (53820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45696).

37572 is a wasteful number, since it uses less digits than its factorization.

37572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 137 counting only the distinct ones).

The product of its digits is 1470, while the sum is 24.

The square root of 37572 is about 193.8349813630. The cubic root of 37572 is about 33.4930556631.

Subtracting from 37572 its reverse (27573), we obtain a palindrome (9999).

It can be divided in two parts, 375 and 72, that multiplied together give a cube (27000 = 30³).

The spelling of 37572 in words is "thirty-seven thousand, five hundred seventy-two".