112731000 has 128 divisors (see below), whose sum is σ = 358862400. Its totient is φ = 29452800.

The previous prime is 112730977. The next prime is 112731001. The reversal of 112731000 is 137211.

It is a super-2 number, since 2×112731000² = 25416556722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112731001) by changing a digit.

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, 158646 + ... + 159354.

Almost surely, 2^112731000 is an apocalyptic number.

112731000 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 112731000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179431200).

112731000 is an abundant number, since it is smaller than the sum of its proper divisors (246131400).

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

112731000 is a wasteful number, since it uses less digits than its factorization.

112731000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 112731000 is about 10617.4855780453. The cubic root of 112731000 is about 483.0748783346.

Adding to 112731000 its reverse (137211), we get a palindrome (112868211).

The spelling of 112731000 in words is "one hundred twelve million, seven hundred thirty-one thousand".