76286112 has 96 divisors (see below), whose sum is σ = 232735104. Its totient is φ = 21427200.

The previous prime is 76286107. The next prime is 76286129. The reversal of 76286112 is 21168267.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 40062 + ... + 41922.

It is an arithmetic number, because the mean of its divisors is an integer number (2424324).

Almost surely, 2^76286112 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 76286112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116367552).

76286112 is an abundant number, since it is smaller than the sum of its proper divisors (156448992).

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

76286112 is a wasteful number, since it uses less digits than its factorization.

76286112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1934 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 76286112 is about 8734.1921206257. The cubic root of 76286112 is about 424.1132366357.

The spelling of 76286112 in words is "seventy-six million, two hundred eighty-six thousand, one hundred twelve".