112707504 has 320 divisors, whose sum is σ = 413306880. Its totient is φ = 28615680.

The previous prime is 112707479. The next prime is 112707527. The reversal of 112707504 is 405707211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1847634 + ... + 1847694.

It is an arithmetic number, because the mean of its divisors is an integer number (1291584).

Almost surely, 2^112707504 is an apocalyptic number.

112707504 is a gapful number since it is divisible by the number (14) 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 112707504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206653440).

112707504 is an abundant number, since it is smaller than the sum of its proper divisors (300599376).

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

112707504 is a wasteful number, since it uses less digits than its factorization.

112707504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 112707504 is about 10616.3790437230. The cubic root of 112707504 is about 483.0413143164.

The spelling of 112707504 in words is "one hundred twelve million, seven hundred seven thousand, five hundred four".