372415680 has 672 divisors, whose sum is σ = 1664208000. Its totient is φ = 75866112.

The previous prime is 372415657. The next prime is 372415711. The reversal of 372415680 is 86514273.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12841906 + ... + 12841934.

It is an arithmetic number, because the mean of its divisors is an integer number (2476500).

Almost surely, 2^372415680 is an apocalyptic number.

372415680 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 372415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832104000).

372415680 is an abundant number, since it is smaller than the sum of its proper divisors (1291792320).

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

372415680 is a wasteful number, since it uses less digits than its factorization.

372415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 372415680 is about 19298.0745153500. The cubic root of 372415680 is about 719.4644165113.

The spelling of 372415680 in words is "three hundred seventy-two million, four hundred fifteen thousand, six hundred eighty".