112776 has 32 divisors (see below), whose sum is σ = 291840. Its totient is φ = 36288.

The previous prime is 112771. The next prime is 112787. The reversal of 112776 is 677211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (112771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 825 + ... + 951.

It is an arithmetic number, because the mean of its divisors is an integer number (9120).

2¹¹²⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145920).

112776 is an abundant number, since it is smaller than the sum of its proper divisors (179064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112776 is a wasteful number, since it uses less digits than its factorization.

112776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 169 counting only the distinct ones).

The product of its digits is 588, while the sum is 24.

The square root of 112776 is about 335.8213810942. The cubic root of 112776 is about 48.3139147783.

Adding to 112776 its reverse (677211), we get a palindrome (789987).

It can be divided in two parts, 112 and 776, that added together give a palindrome (888).

The spelling of 112776 in words is "one hundred twelve thousand, seven hundred seventy-six".