9972144 has 120 divisors (see below), whose sum is σ = 34393632. Its totient is φ = 2626560.

The previous prime is 9972139. The next prime is 9972161. The reversal of 9972144 is 4412799.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9972099 and 9972108.

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, 12724 + ... + 13484.

Almost surely, 2^9972144 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 9972144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17196816).

9972144 is an abundant number, since it is smaller than the sum of its proper divisors (24421488).

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

9972144 is a wasteful number, since it uses less digits than its factorization.

9972144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 786 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 9972144 is about 3157.8701683255. The cubic root of 9972144 is about 215.2432365230.

The spelling of 9972144 in words is "nine million, nine hundred seventy-two thousand, one hundred forty-four".