112737 has 4 divisors (see below), whose sum is σ = 150320. Its totient is φ = 75156.

The previous prime is 112691. The next prime is 112741. The reversal of 112737 is 737211.

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.

It is not a de Polignac number, because 112737 - 2⁸ = 112481 is a prime.

It is an Ulam number.

It is a D-number.

It is a Duffinian number.

112737 is a lucky number.

It is a plaindrome in base 11.

It is a zygodrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 112737.

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 3 ways as a sum of consecutive naturals, for example, 18787 + ... + 18792.

It is an arithmetic number, because the mean of its divisors is an integer number (37580).

2¹¹²⁷³⁷ is an apocalyptic number.

It is an amenable number.

112737 is a deficient number, since it is larger than the sum of its proper divisors (37583).

112737 is an equidigital number, since it uses as much as digits as its factorization.

112737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37582.

The product of its digits is 294, while the sum is 21.

The square root of 112737 is about 335.7633094905. The cubic root of 112737 is about 48.3083448582.

Adding to 112737 its reverse (737211), we get a palindrome (849948).

The spelling of 112737 in words is "one hundred twelve thousand, seven hundred thirty-seven".