112773360 has 160 divisors (see below), whose sum is σ = 420687360. Its totient is φ = 24413184.

The previous prime is 112773307. The next prime is 112773377. The reversal of 112773360 is 63377211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 30154 + ... + 33686.

It is an arithmetic number, because the mean of its divisors is an integer number (2629296).

Almost surely, 2^112773360 is an apocalyptic number.

112773360 is a gapful number since it is divisible by the number (10) 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 112773360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210343680).

112773360 is an abundant number, since it is smaller than the sum of its proper divisors (307914000).

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

112773360 is a wasteful number, since it uses less digits than its factorization.

112773360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 112773360 is about 10619.4802132684. The cubic root of 112773360 is about 483.1353777810.

The spelling of 112773360 in words is "one hundred twelve million, seven hundred seventy-three thousand, three hundred sixty".