76307112 has 144 divisors (see below), whose sum is σ = 246486240. Its totient is φ = 21252672.

The previous prime is 76307111. The next prime is 76307113. The reversal of 76307112 is 21170367.

It is an interprime number because it is at equal distance from previous prime (76307111) and next prime (76307113).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (76307111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151453 + ... + 151955.

It is an arithmetic number, because the mean of its divisors is an integer number (1711710).

Almost surely, 2^76307112 is an apocalyptic number.

76307112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76307112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123243120).

76307112 is an abundant number, since it is smaller than the sum of its proper divisors (170179128).

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

76307112 is a wasteful number, since it uses less digits than its factorization.

76307112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 76307112 is about 8735.3942097652. The cubic root of 76307112 is about 424.1521496201.

Adding to 76307112 its reverse (21170367), we get a palindrome (97477479).

The spelling of 76307112 in words is "seventy-six million, three hundred seven thousand, one hundred twelve".