112727 has 8 divisors (see below), whose sum is σ = 126000. Its totient is φ = 100224.

The previous prime is 112691. The next prime is 112741. The reversal of 112727 is 727211.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 112727 - 2⁶ = 112663 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112699 and 112708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (15750).

2¹¹²⁷²⁷ is an apocalyptic number.

112727 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

112727 is a deficient number, since it is larger than the sum of its proper divisors (13273).

112727 is a wasteful number, since it uses less digits than its factorization.

112727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385.

The product of its digits is 196, while the sum is 20.

The square root of 112727 is about 335.7484177178. The cubic root of 112727 is about 48.3069164667.

Adding to 112727 its reverse (727211), we get a palindrome (839938).

The spelling of 112727 in words is "one hundred twelve thousand, seven hundred twenty-seven", and thus it is an iban number.