112199328 has 72 divisors (see below), whose sum is σ = 320681088. Its totient is φ = 37210752.

The previous prime is 112199287. The next prime is 112199377. The reversal of 112199328 is 823991211.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 112199292 and 112199301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63351 + ... + 65097.

It is an arithmetic number, because the mean of its divisors is an integer number (4453904).

Almost surely, 2^112199328 is an apocalyptic number.

112199328 is a gapful number since it is divisible by the number (18) 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 112199328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160340544).

112199328 is an abundant number, since it is smaller than the sum of its proper divisors (208481760).

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

112199328 is a wasteful number, since it uses less digits than its factorization.

112199328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1975 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 112199328 is about 10592.4184207385. The cubic root of 112199328 is about 482.3142410028.

The spelling of 112199328 in words is "one hundred twelve million, one hundred ninety-nine thousand, three hundred twenty-eight".