112735296 has 168 divisors, whose sum is σ = 354832920. Its totient is φ = 34062336.

The previous prime is 112735289. The next prime is 112735309. The reversal of 112735296 is 692537211.

112735296 is a `hidden beast` number, since 1 + 127 + 3 + 529 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40144896 + 72590400 = 6336^2 + 8520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112735296.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283770 + ... + 284166.

Almost surely, 2^112735296 is an apocalyptic number.

112735296 is a gapful number since it is divisible by the number (16) 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 112735296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177416460).

112735296 is an abundant number, since it is smaller than the sum of its proper divisors (242097624).

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

112735296 is a wasteful number, since it uses less digits than its factorization.

112735296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 112735296 is about 10617.6878839039. The cubic root of 112735296 is about 483.0810146630.

The spelling of 112735296 in words is "one hundred twelve million, seven hundred thirty-five thousand, two hundred ninety-six".