372252960 has 216 divisors, whose sum is σ = 1317492540. Its totient is φ = 95708160.

The previous prime is 372252931. The next prime is 372252971. The reversal of 372252960 is 69252273.

372252960 is a `hidden beast` number, since 3 + 72 + 2 + 529 + 60 = 666.

372252960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 332259984 + 39992976 = 18228^2 + 6324^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1383706 + ... + 1383974.

Almost surely, 2^372252960 is an apocalyptic number.

372252960 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 372252960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658746270).

372252960 is an abundant number, since it is smaller than the sum of its proper divisors (945239580).

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

372252960 is a wasteful number, since it uses less digits than its factorization.

372252960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 372252960 is about 19293.8580900762. The cubic root of 372252960 is about 719.3596157819.

The spelling of 372252960 in words is "three hundred seventy-two million, two hundred fifty-two thousand, nine hundred sixty".