36972 has 36 divisors (see below), whose sum is σ = 101920. Its totient is φ = 11232.

The previous prime is 36947. The next prime is 36973. The reversal of 36972 is 27963.

It is a tau number, because it is divible by the number of its divisors (36).

36972 is a modest number, since divided by 972 gives 36 as remainder.

It is a nialpdrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36972.

It is not an unprimeable number, because it can be changed into a prime (36973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429 + ... + 507.

2³⁶⁹⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50960).

36972 is an abundant number, since it is smaller than the sum of its proper divisors (64948).

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

36972 is a wasteful number, since it uses less digits than its factorization.

36972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 97 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 36972 is about 192.2810443075. The cubic root of 36972 is about 33.3138107906.

Subtracting from 36972 its reverse (27963), we obtain a palindrome (9009).

It can be divided in two parts, 369 and 72, that added together give a square (441 = 21²).

The spelling of 36972 in words is "thirty-six thousand, nine hundred seventy-two".