112392000 has 336 divisors, whose sum is σ = 461540352. Its totient is φ = 25574400.

The previous prime is 112391999. The next prime is 112392047. The reversal of 112392000 is 293211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503889 + ... + 504111.

It is an arithmetic number, because the mean of its divisors is an integer number (1373632).

Almost surely, 2^112392000 is an apocalyptic number.

112392000 is a gapful number since it is divisible by the number (10) 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 112392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230770176).

112392000 is an abundant number, since it is smaller than the sum of its proper divisors (349148352).

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

112392000 is a wasteful number, since it uses less digits than its factorization.

112392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 112392000 is about 10601.5093265063. The cubic root of 112392000 is about 482.5901645418.

The spelling of 112392000 in words is "one hundred twelve million, three hundred ninety-two thousand".