372372000 has 768 divisors, whose sum is σ = 1690730496. Its totient is φ = 69120000.

The previous prime is 372371981. The next prime is 372372017. The reversal of 372372000 is 273273.

372372000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12011985 + ... + 12012015.

It is an arithmetic number, because the mean of its divisors is an integer number (2201472).

Almost surely, 2^372372000 is an apocalyptic number.

372372000 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 372372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845365248).

372372000 is an abundant number, since it is smaller than the sum of its proper divisors (1318358496).

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

372372000 is a wasteful number, since it uses less digits than its factorization.

372372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 372372000 is about 19296.9427630389. The cubic root of 372372000 is about 719.4362871600.

The spelling of 372372000 in words is "three hundred seventy-two million, three hundred seventy-two thousand".