112717520 has 30 divisors (see below), whose sum is σ = 262289202. Its totient is φ = 45049024.

The previous prime is 112717513. The next prime is 112717543. The reversal of 112717520 is 25717211.

It can be written as a sum of positive squares in only one way, i.e., 90174016 + 22543504 = 9496^2 + 4748^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 112717520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 94367 + ... + 95553.

Almost surely, 2^112717520 is an apocalyptic number.

112717520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112717520 is an abundant number, since it is smaller than the sum of its proper divisors (149571682).

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

112717520 is an frugal number, since it uses more digits than its factorization.

112717520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 26.

The square root of 112717520 is about 10616.8507571690. The cubic root of 112717520 is about 483.0556227352.

Multiplying 112717520 by its product of nonzero digits (980), we get a square (110463169600 = 332360²).

The spelling of 112717520 in words is "one hundred twelve million, seven hundred seventeen thousand, five hundred twenty".