112472064 has 156 divisors (see below), whose sum is σ = 339893736. Its totient is φ = 37158912.

The previous prime is 112472053. The next prime is 112472071. The reversal of 112472064 is 460274211.

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 11 ways as a sum of consecutive naturals, for example, 995272 + ... + 995384.

It is an arithmetic number, because the mean of its divisors is an integer number (2178806).

Almost surely, 2^112472064 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 112472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169946868).

112472064 is an abundant number, since it is smaller than the sum of its proper divisors (227421672).

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

112472064 is an frugal number, since it uses more digits than its factorization.

112472064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 112472064 is about 10605.2847203647. The cubic root of 112472064 is about 482.7047306075.

The spelling of 112472064 in words is "one hundred twelve million, four hundred seventy-two thousand, sixty-four".