9907872 has 96 divisors (see below), whose sum is σ = 29719872. Its totient is φ = 2863104.

The previous prime is 9907867. The next prime is 9907901. The reversal of 9907872 is 2787099.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20983 + ... + 21449.

It is an arithmetic number, because the mean of its divisors is an integer number (309582).

Almost surely, 2^9907872 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 9907872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859936).

9907872 is an abundant number, since it is smaller than the sum of its proper divisors (19812000).

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

9907872 is a wasteful number, since it uses less digits than its factorization.

9907872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 9907872 is about 3147.6772388541. The cubic root of 9907872 is about 214.7798142415.

The spelling of 9907872 in words is "nine million, nine hundred seven thousand, eight hundred seventy-two".