372008 has 48 divisors (see below), whose sum is σ = 885780. Its totient is φ = 145152.

The previous prime is 371999. The next prime is 372013. The reversal of 372008 is 800273.

372008 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 362404 + 9604 = 602^2 + 98^2 .

It is an Ulam number.

372008 is an undulating number in base 9.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5060 + ... + 5132.

2³⁷²⁰⁰⁸ 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 372008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442890).

372008 is an abundant number, since it is smaller than the sum of its proper divisors (513772).

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

372008 is a wasteful number, since it uses less digits than its factorization.

372008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

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

The square root of 372008 is about 609.9245855022. The cubic root of 372008 is about 71.9201790309.

The spelling of 372008 in words is "three hundred seventy-two thousand, eight".