6372 has 24 divisors (see below), whose sum is σ = 16800. Its totient is φ = 2088.

The previous prime is 6367. The next prime is 6373. The reversal of 6372 is 2736.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 6372.

It is not an unprimeable number, because it can be changed into a prime (6373) by changing a digit.

6372 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79 + ... + 137.

It is an arithmetic number, because the mean of its divisors is an integer number (700).

2⁶³⁷² 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 6372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8400).

6372 is an abundant number, since it is smaller than the sum of its proper divisors (10428).

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

6372 is a wasteful number, since it uses less digits than its factorization.

6372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 64 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 6372 is about 79.8248081739. The cubic root of 6372 is about 18.5392398176.

It can be divided in two parts, 6 and 372, that added together give a triangular number (378 = T₂₇).

The spelling of 6372 in words is "six thousand, three hundred seventy-two".