372008000 has 336 divisors, whose sum is σ = 1169938224. Its totient is φ = 116121600.

The previous prime is 372007963. The next prime is 372008009. The reversal of 372008000 is 800273.

It can be written as a sum of positive squares in 8 ways, for example, as 179131456 + 192876544 = 13384^2 + 13888^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (372008009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5095964 + ... + 5096036.

It is an arithmetic number, because the mean of its divisors is an integer number (3481959).

Almost surely, 2^372008000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 372008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584969112).

372008000 is an abundant number, since it is smaller than the sum of its proper divisors (797930224).

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

372008000 is a wasteful number, since it uses less digits than its factorization.

372008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 372008000 is about 19287.5089112099. The cubic root of 372008000 is about 719.2017903093.

Adding to 372008000 its reverse (800273), we get a palindrome (372808273).

The spelling of 372008000 in words is "three hundred seventy-two million, eight thousand".