9972400 has 60 divisors (see below), whose sum is σ = 24286392. Its totient is φ = 3934720.

The previous prime is 9972383. The next prime is 9972401. The reversal of 9972400 is 42799.

It is not an unprimeable number, because it can be changed into a prime (9972401) 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, 42684 + ... + 42916.

Almost surely, 2^9972400 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 9972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12143196).

9972400 is an abundant number, since it is smaller than the sum of its proper divisors (14313992).

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

9972400 is a wasteful number, since it uses less digits than its factorization.

9972400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 9972400 is about 3157.9107017140. The cubic root of 9972400 is about 215.2450783802.

The spelling of 9972400 in words is "nine million, nine hundred seventy-two thousand, four hundred".