9901872 has 40 divisors (see below), whose sum is σ = 28423280. Its totient is φ = 3300480.

The previous prime is 9901867. The next prime is 9901877. The reversal of 9901872 is 2781099.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9901867) and next prime (9901877).

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

It is not an unprimeable number, because it can be changed into a prime (9901877) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11029 + ... + 11892.

It is an arithmetic number, because the mean of its divisors is an integer number (710582).

Almost surely, 2^9901872 is an apocalyptic number.

It is an amenable number.

9901872 is an abundant number, since it is smaller than the sum of its proper divisors (18521408).

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

9901872 is a wasteful number, since it uses less digits than its factorization.

9901872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22938 (or 22926 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 9901872 is about 3146.7240107769. The cubic root of 9901872 is about 214.7364500994.

The spelling of 9901872 in words is "nine million, nine hundred one thousand, eight hundred seventy-two".