112768 has 16 divisors (see below), whose sum is σ = 224910. Its totient is φ = 56320.

The previous prime is 112759. The next prime is 112771. The reversal of 112768 is 867211.

It can be written as a sum of positive squares in only one way, i.e., 107584 + 5184 = 328^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a congruent number.

It is an unprimeable number.

112768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 313 + ... + 568.

2¹¹²⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

112768 is a deficient number, since it is larger than the sum of its proper divisors (112142).

112768 is an frugal number, since it uses more digits than its factorization.

112768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 883 counting only the distinct ones).

The product of its digits is 672, while the sum is 25.

The square root of 112768 is about 335.8094697890. The cubic root of 112768 is about 48.3127723353.

Adding to 112768 its reverse (867211), we get a palindrome (979979).

It can be divided in two parts, 1127 and 68, that multiplied together give a triangular number (76636 = T₃₉₁).

The spelling of 112768 in words is "one hundred twelve thousand, seven hundred sixty-eight".