112749000 has 384 divisors, whose sum is σ = 448156800. Its totient is φ = 23385600.

The previous prime is 112748963. The next prime is 112749029. The reversal of 112749000 is 947211.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 1910971 + ... + 1911029.

It is an arithmetic number, because the mean of its divisors is an integer number (1167075).

Almost surely, 2^112749000 is an apocalyptic number.

112749000 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 112749000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224078400).

112749000 is an abundant number, since it is smaller than the sum of its proper divisors (335407800).

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

112749000 is a wasteful number, since it uses less digits than its factorization.

112749000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 112749000 is about 10618.3332025323. Note that the first 3 decimals coincide. The cubic root of 112749000 is about 483.1005881661.

The spelling of 112749000 in words is "one hundred twelve million, seven hundred forty-nine thousand".