112728704 has 96 divisors (see below), whose sum is σ = 260051040. Its totient is φ = 48181760.

The previous prime is 112728697. The next prime is 112728709. The reversal of 112728704 is 407827211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (112728709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1910627 + ... + 1910685.

It is an arithmetic number, because the mean of its divisors is an integer number (2708865).

Almost surely, 2^112728704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130025520).

112728704 is an abundant number, since it is smaller than the sum of its proper divisors (147322336).

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

112728704 is an equidigital number, since it uses as much as digits as its factorization.

112728704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 112728704 is about 10617.3774539667. The cubic root of 112728704 is about 483.0715987059.

The spelling of 112728704 in words is "one hundred twelve million, seven hundred twenty-eight thousand, seven hundred four".