112736000 has 144 divisors (see below), whose sum is σ = 303558528. Its totient is φ = 41472000.

The previous prime is 112735979. The next prime is 112736023. The reversal of 112736000 is 637211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415865 + ... + 416135.

Almost surely, 2^112736000 is an apocalyptic number.

112736000 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 112736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151779264).

112736000 is an abundant number, since it is smaller than the sum of its proper divisors (190822528).

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

112736000 is an equidigital number, since it uses as much as digits as its factorization.

112736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 112736000 is about 10617.7210360793. The cubic root of 112736000 is about 483.0820202289.

The spelling of 112736000 in words is "one hundred twelve million, seven hundred thirty-six thousand".