112159872 has 192 divisors, whose sum is σ = 360884160. Its totient is φ = 33146880.

The previous prime is 112159871. The next prime is 112159877. The reversal of 112159872 is 278951211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (112159871) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 671533 + ... + 671699.

It is an arithmetic number, because the mean of its divisors is an integer number (1879605).

Almost surely, 2^112159872 is an apocalyptic number.

112159872 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 112159872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180442080).

112159872 is an abundant number, since it is smaller than the sum of its proper divisors (248724288).

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

112159872 is a wasteful number, since it uses less digits than its factorization.

112159872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 112159872 is about 10590.5557927807. Note that the first 3 decimals coincide. The cubic root of 112159872 is about 482.2576975214.

The spelling of 112159872 in words is "one hundred twelve million, one hundred fifty-nine thousand, eight hundred seventy-two".