9879072 has 96 divisors (see below), whose sum is σ = 30248064. Its totient is φ = 2764800.

The previous prime is 9879061. The next prime is 9879097. The reversal of 9879072 is 2709789.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 40872 + ... + 41112.

It is an arithmetic number, because the mean of its divisors is an integer number (315084).

Almost surely, 2^9879072 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 9879072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15124032).

9879072 is an abundant number, since it is smaller than the sum of its proper divisors (20368992).

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

9879072 is a wasteful number, since it uses less digits than its factorization.

9879072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

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

The square root of 9879072 is about 3143.0991075688. The cubic root of 9879072 is about 214.5715064166.

The spelling of 9879072 in words is "nine million, eight hundred seventy-nine thousand, seventy-two".