372564 has 36 divisors (see below), whose sum is σ = 960960. Its totient is φ = 121680.

The previous prime is 372539. The next prime is 372607. The reversal of 372564 is 465273.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

372564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2779 + ... + 2909.

2³⁷²⁵⁶⁴ 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 372564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480480).

372564 is an abundant number, since it is smaller than the sum of its proper divisors (588396).

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

372564 is a wasteful number, since it uses less digits than its factorization.

372564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 372564 is about 610.3802093777. The cubic root of 372564 is about 71.9559916249.

It can be divided in two parts, 37 and 2564, that added together give a square (2601 = 51²).

The spelling of 372564 in words is "three hundred seventy-two thousand, five hundred sixty-four".