112672000 has 144 divisors (see below), whose sum is σ = 321414912. Its totient is φ = 38553600.

The previous prime is 112671973. The next prime is 112672013. The reversal of 112672000 is 276211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223749 + ... + 224251.

It is an arithmetic number, because the mean of its divisors is an integer number (2232048).

Almost surely, 2^112672000 is an apocalyptic number.

112672000 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 112672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160707456).

112672000 is an abundant number, since it is smaller than the sum of its proper divisors (208742912).

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

112672000 is an frugal number, since it uses more digits than its factorization.

112672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 112672000 is about 10614.7067788046. The cubic root of 112672000 is about 482.9905880284.

The spelling of 112672000 in words is "one hundred twelve million, six hundred seventy-two thousand".