9712032 has 96 divisors (see below), whose sum is σ = 29502144. Its totient is φ = 2764800.

The previous prime is 9712007. The next prime is 9712051. The reversal of 9712032 is 2302179.

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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 9711993 and 9712011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17682 + ... + 18222.

It is an arithmetic number, because the mean of its divisors is an integer number (307314).

Almost surely, 2^9712032 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 9712032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14751072).

9712032 is an abundant number, since it is smaller than the sum of its proper divisors (19790112).

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

9712032 is a wasteful number, since it uses less digits than its factorization.

9712032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 9712032 is about 3116.4133230366. The cubic root of 9712032 is about 213.3552668421.

It can be divided in two parts, 971 and 2032, that added together give a palindrome (3003).

The spelling of 9712032 in words is "nine million, seven hundred twelve thousand, thirty-two".