9872200 has 48 divisors (see below), whose sum is σ = 24724980. Its totient is φ = 3644160.

The previous prime is 9872171. The next prime is 9872201. The reversal of 9872200 is 22789.

It can be written as a sum of positive squares in 6 ways, for example, as 125316 + 9746884 = 354^2 + 3122^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9872201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 702 + ... + 4498.

Almost surely, 2^9872200 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 9872200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362490).

9872200 is an abundant number, since it is smaller than the sum of its proper divisors (14852780).

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

9872200 is a wasteful number, since it uses less digits than its factorization.

9872200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 9872200 is about 3142.0057288299. The cubic root of 9872200 is about 214.5217420451.

Adding to 9872200 its reverse (22789), we get a palindrome (9894989).

It can be divided in two parts, 98 and 72200, that multiplied together give a square (7075600 = 2660²).

The spelling of 9872200 in words is "nine million, eight hundred seventy-two thousand, two hundred".