9988272 has 120 divisors (see below), whose sum is σ = 33220096. Its totient is φ = 2846016.

The previous prime is 9988271. The next prime is 9988283. The reversal of 9988272 is 2728899.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9988271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27033 + ... + 27399.

Almost surely, 2^9988272 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 9988272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16610048).

9988272 is an abundant number, since it is smaller than the sum of its proper divisors (23231824).

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

9988272 is a wasteful number, since it uses less digits than its factorization.

9988272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 379 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 9988272 is about 3160.4227565312. The cubic root of 9988272 is about 215.3592120223.

The spelling of 9988272 in words is "nine million, nine hundred eighty-eight thousand, two hundred seventy-two".