9939072 has 128 divisors (see below), whose sum is σ = 31187520. Its totient is φ = 2764800.

The previous prime is 9939053. The next prime is 9939073. The reversal of 9939072 is 2709399.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 9939072.

It is not an unprimeable number, because it can be changed into a prime (9939073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54822 + ... + 55002.

Almost surely, 2^9939072 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 9939072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15593760).

9939072 is an abundant number, since it is smaller than the sum of its proper divisors (21248448).

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

9939072 is a wasteful number, since it uses less digits than its factorization.

9939072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 9939072 is about 3152.6293787884. The cubic root of 9939072 is about 215.0050260228.

Adding to 9939072 its sum of digits (39), we get a triangular number (9939111 = T₄₄₅₈).

The spelling of 9939072 in words is "nine million, nine hundred thirty-nine thousand, seventy-two".