96752832 has 112 divisors (see below), whose sum is σ = 284219904. Its totient is φ = 28800000.

The previous prime is 96752827. The next prime is 96752833. The reversal of 96752832 is 23825769.

It is a super-2 number, since 2×96752832² = 18722221000040448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (96752833) 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, 128457 + ... + 129207.

Almost surely, 2^96752832 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 96752832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142109952).

96752832 is an abundant number, since it is smaller than the sum of its proper divisors (187467072).

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

96752832 is a wasteful number, since it uses less digits than its factorization.

96752832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 828 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 96752832 is about 9836.3017440499. The cubic root of 96752832 is about 459.0794950622.

The spelling of 96752832 in words is "ninety-six million, seven hundred fifty-two thousand, eight hundred thirty-two".