112267728 has 80 divisors (see below), whose sum is σ = 341228160. Its totient is φ = 35218944.

The previous prime is 112267691. The next prime is 112267747. The reversal of 112267728 is 827762211.

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 junction number, because it is equal to n+sod(n) for n = 112267692 and 112267701.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 300 + ... + 14987.

It is an arithmetic number, because the mean of its divisors is an integer number (4265352).

Almost surely, 2^112267728 is an apocalyptic number.

112267728 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 112267728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

112267728 is an abundant number, since it is smaller than the sum of its proper divisors (228960432).

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

112267728 is a wasteful number, since it uses less digits than its factorization.

112267728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15321 (or 15309 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 112267728 is about 10595.6466532251. The cubic root of 112267728 is about 482.4122320603.

The spelling of 112267728 in words is "one hundred twelve million, two hundred sixty-seven thousand, seven hundred twenty-eight".