372996 has 36 divisors (see below), whose sum is σ = 1016652. Its totient is φ = 114624.

The previous prime is 372979. The next prime is 373003. The reversal of 372996 is 699273.

It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 260100 = 336^2 + 510^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 372996.

It is an unprimeable number.

372996 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 11 ways as a sum of consecutive naturals, for example, 70 + ... + 866.

2³⁷²⁹⁹⁶ is an apocalyptic number.

372996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 372996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508326).

372996 is an abundant number, since it is smaller than the sum of its proper divisors (643656).

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

372996 is a wasteful number, since it uses less digits than its factorization.

372996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 815 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 372996 is about 610.7339846447. The cubic root of 372996 is about 71.9837926483.

The spelling of 372996 in words is "three hundred seventy-two thousand, nine hundred ninety-six".