112785760 has 48 divisors (see below), whose sum is σ = 268540272. Its totient is φ = 44761600.

The previous prime is 112785737. The next prime is 112785763. The reversal of 112785760 is 67587211.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112785763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18270 + ... + 23650.

It is an arithmetic number, because the mean of its divisors is an integer number (5594589).

Almost surely, 2^112785760 is an apocalyptic number.

112785760 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 112785760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134270136).

112785760 is an abundant number, since it is smaller than the sum of its proper divisors (155754512).

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

112785760 is a wasteful number, since it uses less digits than its factorization.

112785760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5527 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The square root of 112785760 is about 10620.0640299388. The cubic root of 112785760 is about 483.1530848563.

The spelling of 112785760 in words is "one hundred twelve million, seven hundred eighty-five thousand, seven hundred sixty".