112161672 has 160 divisors (see below), whose sum is σ = 364742400. Its totient is φ = 31539456.

The previous prime is 112161661. The next prime is 112161677. The reversal of 112161672 is 276161211.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (112161677) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 358188 + ... + 358500.

It is an arithmetic number, because the mean of its divisors is an integer number (2279640).

Almost surely, 2^112161672 is an apocalyptic number.

112161672 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 112161672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182371200).

112161672 is an abundant number, since it is smaller than the sum of its proper divisors (252580728).

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

112161672 is a wasteful number, since it uses less digits than its factorization.

112161672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 404 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 112161672 is about 10590.6407738153. The cubic root of 112161672 is about 482.2602773485.

The spelling of 112161672 in words is "one hundred twelve million, one hundred sixty-one thousand, six hundred seventy-two".