112716000 has 288 divisors, whose sum is σ = 417021696. Its totient is φ = 28800000.

The previous prime is 112715987. The next prime is 112716013. The reversal of 112716000 is 617211.

It is an interprime number because it is at equal distance from previous prime (112715987) and next prime (112716013).

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 (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, 1115950 + ... + 1116050.

It is an arithmetic number, because the mean of its divisors is an integer number (1447992).

Almost surely, 2^112716000 is an apocalyptic number.

112716000 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 112716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208510848).

112716000 is an abundant number, since it is smaller than the sum of its proper divisors (304305696).

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

112716000 is a wasteful number, since it uses less digits than its factorization.

112716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 112716000 is about 10616.7791726116. The cubic root of 112716000 is about 483.0534513843.

It can be divided in two parts, 11271 and 6000, that added together give a palindrome (17271).

The spelling of 112716000 in words is "one hundred twelve million, seven hundred sixteen thousand".