112329672 has 128 divisors (see below), whose sum is σ = 363955200. Its totient is φ = 28055808.

The previous prime is 112329661. The next prime is 112329697. The reversal of 112329672 is 276923211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40143 + ... + 42849.

It is an arithmetic number, because the mean of its divisors is an integer number (2843400).

Almost surely, 2^112329672 is an apocalyptic number.

112329672 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 112329672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181977600).

112329672 is an abundant number, since it is smaller than the sum of its proper divisors (251625528).

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

112329672 is a wasteful number, since it uses less digits than its factorization.

112329672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2751 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 112329672 is about 10598.5693374153. The cubic root of 112329672 is about 482.5009397997.

The spelling of 112329672 in words is "one hundred twelve million, three hundred twenty-nine thousand, six hundred seventy-two".