372264 has 16 divisors (see below), whose sum is σ = 930720. Its totient is φ = 124080.

The previous prime is 372263. The next prime is 372269. The reversal of 372264 is 462273.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 15511 = 372264 / (3 + 7 + 2 + 2 + 6 + 4).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 372264.

It is not an unprimeable number, because it can be changed into a prime (372263) 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, 7732 + ... + 7779.

It is an arithmetic number, because the mean of its divisors is an integer number (58170).

2³⁷²²⁶⁴ is an apocalyptic number.

It is an amenable number.

372264 is an abundant number, since it is smaller than the sum of its proper divisors (558456).

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

372264 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 372264 = (234762)₁₁.

372264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15520 (or 15516 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 372264 is about 610.1344114210. The cubic root of 372264 is about 71.9366727122.

Subtracting 372264 from its reverse (462273), we obtain a palindrome (90009).

It can be divided in two parts, 372 and 264, that added together give a palindrome (636).

The spelling of 372264 in words is "three hundred seventy-two thousand, two hundred sixty-four".