112396032 has 288 divisors, whose sum is σ = 400296960. Its totient is φ = 30412800.

The previous prime is 112396019. The next prime is 112396087. The reversal of 112396032 is 230693211.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112395987 and 112396005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1112782 + ... + 1112882.

It is an arithmetic number, because the mean of its divisors is an integer number (1389920).

Almost surely, 2^112396032 is an apocalyptic number.

112396032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112396032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200148480).

112396032 is an abundant number, since it is smaller than the sum of its proper divisors (287900928).

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

112396032 is a wasteful number, since it uses less digits than its factorization.

112396032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 112396032 is about 10601.6994864031. The cubic root of 112396032 is about 482.5959353567.

It can be divided in two parts, 11239 and 6032, that added together give a palindrome (17271).

The spelling of 112396032 in words is "one hundred twelve million, three hundred ninety-six thousand, thirty-two".