372816 has 40 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 124128.

The previous prime is 372809. The next prime is 372817. The reversal of 372816 is 618273.

372816 is a nontrivial binomial coefficient, being equal to C(864, 2).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 372816.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 372816.

It is not an unprimeable number, because it can be changed into a prime (372817) by changing a digit.

372816 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 863.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2³⁷²⁸¹⁶ is an apocalyptic number.

372816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

372816 is the 863-rd triangular number and also the 432-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 372816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

372816 is an abundant number, since it is smaller than the sum of its proper divisors (698544).

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

372816 is a wasteful number, since it uses less digits than its factorization.

372816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 868 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 372816 is about 610.5866031940. The cubic root of 372816 is about 71.9722114986.

The spelling of 372816 in words is "three hundred seventy-two thousand, eight hundred sixteen".