376272000 has 512 divisors, whose sum is σ = 1514822400. Its totient is φ = 91238400.

The previous prime is 376271993. The next prime is 376272073. The reversal of 376272000 is 272673.

376272000 is a `hidden beast` number, since 37 + 627 + 2 + 0 + 0 + 0 = 666.

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 Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5615967 + ... + 5616033.

Almost surely, 2^376272000 is an apocalyptic number.

376272000 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 376272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757411200).

376272000 is an abundant number, since it is smaller than the sum of its proper divisors (1138550400).

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

376272000 is a wasteful number, since it uses less digits than its factorization.

376272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

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

The square root of 376272000 is about 19397.7318261698. The cubic root of 376272000 is about 721.9392167531.

The spelling of 376272000 in words is "three hundred seventy-six million, two hundred seventy-two thousand".