112167072 has 96 divisors (see below), whose sum is σ = 329313600. Its totient is φ = 37142784.

The previous prime is 112167061. The next prime is 112167079. The reversal of 112167072 is 270761211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112167079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169879 + ... + 170537.

It is an arithmetic number, because the mean of its divisors is an integer number (3430350).

Almost surely, 2^112167072 is an apocalyptic number.

112167072 is a gapful number since it is divisible by the number (12) 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 112167072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164656800).

112167072 is an abundant number, since it is smaller than the sum of its proper divisors (217146528).

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

112167072 is a wasteful number, since it uses less digits than its factorization.

112167072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 112167072 is about 10590.8957128281. The cubic root of 112167072 is about 482.2680166640.

The spelling of 112167072 in words is "one hundred twelve million, one hundred sixty-seven thousand, seventy-two".