372672000 has 240 divisors, whose sum is σ = 1344369312. Its totient is φ = 99225600.

The previous prime is 372671989. The next prime is 372672007. The reversal of 372672000 is 276273.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (372672007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575677 + ... + 576323.

Almost surely, 2^372672000 is an apocalyptic number.

372672000 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 372672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672184656).

372672000 is an abundant number, since it is smaller than the sum of its proper divisors (971697312).

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

372672000 is an equidigital number, since it uses as much as digits as its factorization.

372672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 372672000 is about 19304.7144501026. The cubic root of 372672000 is about 719.6294389464.

The spelling of 372672000 in words is "three hundred seventy-two million, six hundred seventy-two thousand".