372082400 has 144 divisors (see below), whose sum is σ = 974468880. Its totient is φ = 138240000.

The previous prime is 372082393. The next prime is 372082411. The reversal of 372082400 is 4280273.

It is a self number, because there is not a number n which added to its sum of digits gives 372082400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1482275 + ... + 1482525.

It is an arithmetic number, because the mean of its divisors is an integer number (6767145).

Almost surely, 2^372082400 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 372082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487234440).

372082400 is an abundant number, since it is smaller than the sum of its proper divisors (602386480).

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

372082400 is a wasteful number, since it uses less digits than its factorization.

372082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 372082400 is about 19289.4375241996. The cubic root of 372082400 is about 719.2497328682.

The spelling of 372082400 in words is "three hundred seventy-two million, eighty-two thousand, four hundred".