112744000 has 112 divisors (see below), whose sum is σ = 295991280. Its totient is φ = 42393600.

The previous prime is 112743991. The next prime is 112744007. The reversal of 112744000 is 447211.

It can be written as a sum of positive squares in 8 ways, for example, as 18731584 + 94012416 = 4328^2 + 9696^2 .

It is a super-2 number, since 2×112744000² = 25422419072000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112744007) by changing a digit.

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, 135586 + ... + 136414.

Almost surely, 2^112744000 is an apocalyptic number.

112744000 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 112744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147995640).

112744000 is an abundant number, since it is smaller than the sum of its proper divisors (183247280).

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

112744000 is an equidigital number, since it uses as much as digits as its factorization.

112744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 112744000 is about 10618.0977580732. The cubic root of 112744000 is about 483.0934468207.

The spelling of 112744000 in words is "one hundred twelve million, seven hundred forty-four thousand".