32872900 has 72 divisors (see below), whose sum is σ = 77010696. Its totient is φ = 12134400.

The previous prime is 32872891. The next prime is 32872913. The reversal of 32872900 is 927823.

It can be written as a sum of positive squares in 12 ways, for example, as 22127616 + 10745284 = 4704^2 + 3278^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103542 + ... + 103858.

It is an arithmetic number, because the mean of its divisors is an integer number (1069593).

Almost surely, 2^32872900 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 32872900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38505348).

32872900 is an abundant number, since it is smaller than the sum of its proper divisors (44137796).

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

32872900 is a wasteful number, since it uses less digits than its factorization.

32872900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 32872900 is about 5733.4893389628. The cubic root of 32872900 is about 320.3411076174.

The spelling of 32872900 in words is "thirty-two million, eight hundred seventy-two thousand, nine hundred".