37272 has 16 divisors (see below), whose sum is σ = 93240. Its totient is φ = 12416.

The previous prime is 37253. The next prime is 37273. The reversal of 37272 is 27273.

It is a nialpdrome in base 6.

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 37272.

It is not an unprimeable number, because it can be changed into a prime (37273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 753 + ... + 800.

2³⁷²⁷² is an apocalyptic number.

It is an amenable number.

37272 is an abundant number, since it is smaller than the sum of its proper divisors (55968).

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 (46620).

37272 is a wasteful number, since it uses less digits than its factorization.

37272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1558 counting only the distinct ones).

The product of its digits is 588, while the sum is 21.

The square root of 37272 is about 193.0595762971. The cubic root of 37272 is about 33.4036736849.

Subtracting from 37272 its reverse (27273), we obtain a palindrome (9999).

It can be divided in two parts, 372 and 72, that added together give a palindrome (444).

The spelling of 37272 in words is "thirty-seven thousand, two hundred seventy-two".