372364560 has 320 divisors, whose sum is σ = 1359912960. Its totient is φ = 93519360.

The previous prime is 372364543. The next prime is 372364561. The reversal of 372364560 is 65463273.

372364560 is a `hidden beast` number, since 3 + 7 + 2 + 3 + 645 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (372364561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4486279 + ... + 4486361.

It is an arithmetic number, because the mean of its divisors is an integer number (4249728).

Almost surely, 2^372364560 is an apocalyptic number.

372364560 is a gapful number since it is divisible by the number (30) 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 372364560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679956480).

372364560 is an abundant number, since it is smaller than the sum of its proper divisors (987548400).

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

372364560 is a wasteful number, since it uses less digits than its factorization.

372364560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 372364560 is about 19296.7499854250. The cubic root of 372364560 is about 719.4314956776.

The spelling of 372364560 in words is "three hundred seventy-two million, three hundred sixty-four thousand, five hundred sixty".