112167672 has 64 divisors (see below), whose sum is σ = 292377600. Its totient is φ = 35819520.

The previous prime is 112167667. The next prime is 112167689. The reversal of 112167672 is 276761211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78904 + ... + 80312.

It is an arithmetic number, because the mean of its divisors is an integer number (4568400).

Almost surely, 2^112167672 is an apocalyptic number.

112167672 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 112167672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146188800).

112167672 is an abundant number, since it is smaller than the sum of its proper divisors (180209928).

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

112167672 is a wasteful number, since it uses less digits than its factorization.

112167672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1552 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 112167672 is about 10590.9240390062. The cubic root of 112167672 is about 482.2688765726.

The spelling of 112167672 in words is "one hundred twelve million, one hundred sixty-seven thousand, six hundred seventy-two".