9913872 has 40 divisors (see below), whose sum is σ = 25980480. Its totient is φ = 3256960.

The previous prime is 9913861. The next prime is 9913879. The reversal of 9913872 is 2783199.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9913872.

It is not an unprimeable number, because it can be changed into a prime (9913879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1954 + ... + 4862.

It is an arithmetic number, because the mean of its divisors is an integer number (649512).

Almost surely, 2^9913872 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 9913872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12990240).

9913872 is an abundant number, since it is smaller than the sum of its proper divisors (16066608).

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

9913872 is a wasteful number, since it uses less digits than its factorization.

9913872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2985 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 9913872 is about 3148.6301783474. The cubic root of 9913872 is about 214.8231608801.

The spelling of 9913872 in words is "nine million, nine hundred thirteen thousand, eight hundred seventy-two".