9872000 has 64 divisors (see below), whose sum is σ = 24584040. Its totient is φ = 3942400.

The previous prime is 9871993. The next prime is 9872011. The reversal of 9872000 is 2789.

It can be written as a sum of positive squares in 4 ways, for example, as 678976 + 9193024 = 824^2 + 3032^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15692 + ... + 16308.

Almost surely, 2^9872000 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 9872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12292020).

9872000 is an abundant number, since it is smaller than the sum of its proper divisors (14712040).

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

9872000 is an equidigital number, since it uses as much as digits as its factorization.

9872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 9872000 is about 3141.9739018649. The cubic root of 9872000 is about 214.5202933765.

Adding to 9872000 its reverse (2789), we get a palindrome (9874789).

The spelling of 9872000 in words is "nine million, eight hundred seventy-two thousand".