112729 has 4 divisors (see below), whose sum is σ = 113680. Its totient is φ = 111780.

The previous prime is 112691. The next prime is 112741. The reversal of 112729 is 927211.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 927211 = 853 ⋅1087.

It is a cyclic number.

It is not a de Polignac number, because 112729 - 2⁷ = 112601 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (112759) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 267 + ... + 544.

It is an arithmetic number, because the mean of its divisors is an integer number (28420).

2¹¹²⁷²⁹ is an apocalyptic number.

It is an amenable number.

112729 is a deficient number, since it is larger than the sum of its proper divisors (951).

112729 is an equidigital number, since it uses as much as digits as its factorization.

112729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950.

The product of its digits is 252, while the sum is 22.

The square root of 112729 is about 335.7513961252. The cubic root of 112729 is about 48.3072021518.

It can be divided in two parts, 1127 and 29, that added together give a square (1156 = 34²).

The spelling of 112729 in words is "one hundred twelve thousand, seven hundred twenty-nine".