9936672 has 48 divisors (see below), whose sum is σ = 26399520. Its totient is φ = 3272192.

The previous prime is 9936649. The next prime is 9936673. The reversal of 9936672 is 2766399.

9936672 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9936673) 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, 7963 + ... + 9125.

It is an arithmetic number, because the mean of its divisors is an integer number (549990).

Almost surely, 2^9936672 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 9936672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199760).

9936672 is an abundant number, since it is smaller than the sum of its proper divisors (16462848).

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

9936672 is a wasteful number, since it uses less digits than its factorization.

9936672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1257 counting only the distinct ones).

The product of its digits is 122472, while the sum is 42.

The square root of 9936672 is about 3152.2487211513. The cubic root of 9936672 is about 214.9877187865.

The spelling of 9936672 in words is "nine million, nine hundred thirty-six thousand, six hundred seventy-two".