112729743 has 36 divisors (see below), whose sum is σ = 191266920. Its totient is φ = 63788256.

The previous prime is 112729723. The next prime is 112729751. The reversal of 112729743 is 347927211.

It is not a de Polignac number, because 112729743 - 2¹⁶ = 112664207 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112729698 and 112729707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112729723) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45993 + ... + 48381.

It is an arithmetic number, because the mean of its divisors is an integer number (5312970).

Almost surely, 2^112729743 is an apocalyptic number.

112729743 is a deficient number, since it is larger than the sum of its proper divisors (78537177).

112729743 is a wasteful number, since it uses less digits than its factorization.

112729743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2506 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 112729743 is about 10617.4263830742. The cubic root of 112729743 is about 483.0730828291.

The spelling of 112729743 in words is "one hundred twelve million, seven hundred twenty-nine thousand, seven hundred forty-three".