112167792 has 120 divisors (see below), whose sum is σ = 360572160. Its totient is φ = 32192640.

The previous prime is 112167767. The next prime is 112167817. The reversal of 112167792 is 297761211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112167767) and next prime (112167817).

It is a super-2 number, since 2×112167792² = 25163227124310528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28233 + ... + 31959.

It is an arithmetic number, because the mean of its divisors is an integer number (3004768).

Almost surely, 2^112167792 is an apocalyptic number.

112167792 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 112167792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180286080).

112167792 is an abundant number, since it is smaller than the sum of its proper divisors (248404368).

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

112167792 is a wasteful number, since it uses less digits than its factorization.

112167792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3762 counting only the distinct ones).

The product of its digits is 10584, while the sum is 36.

The square root of 112167792 is about 10590.9297042328. The cubic root of 112167792 is about 482.2690485539.

The spelling of 112167792 in words is "one hundred twelve million, one hundred sixty-seven thousand, seven hundred ninety-two".