112032032 has 96 divisors (see below), whose sum is σ = 263088000. Its totient is φ = 46927104.

The previous prime is 112032031. The next prime is 112032077. The reversal of 112032032 is 230230211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 112031998 and 112032016.

It is not an unprimeable number, because it can be changed into a prime (112032031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647498 + ... + 647670.

It is an arithmetic number, because the mean of its divisors is an integer number (2740500).

Almost surely, 2^112032032 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 112032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131544000).

112032032 is an abundant number, since it is smaller than the sum of its proper divisors (151055968).

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

112032032 is an equidigital number, since it uses as much as digits as its factorization.

112032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 112032032 is about 10584.5185058178. The cubic root of 112032032 is about 482.0744018340.

Adding to 112032032 its reverse (230230211), we get a palindrome (342262243).

The spelling of 112032032 in words is "one hundred twelve million, thirty-two thousand, thirty-two".