36372 has 24 divisors (see below), whose sum is σ = 97216. Its totient is φ = 10368.

The previous prime is 36353. The next prime is 36373. The reversal of 36372 is 27363.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36373) 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, 133 + ... + 300.

2³⁶³⁷² is an apocalyptic number.

It is an amenable number.

36372 is an abundant number, since it is smaller than the sum of its proper divisors (60844).

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 (48608).

36372 is a wasteful number, since it uses less digits than its factorization.

36372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 445 counting only the distinct ones).

The product of its digits is 756, while the sum is 21.

The square root of 36372 is about 190.7144462279. The cubic root of 36372 is about 33.1326160250.

Adding to 36372 its product of digits (756), we get a triangular number (37128 = T₂₇₂).

Subtracting from 36372 its reverse (27363), we obtain a palindrome (9009).

It can be divided in two parts, 363 and 72, that added together give a triangular number (435 = T₂₉).

The spelling of 36372 in words is "thirty-six thousand, three hundred seventy-two".