76442112 has 120 divisors (see below), whose sum is σ = 225497844. Its totient is φ = 24920064.

The previous prime is 76442099. The next prime is 76442117. The reversal of 76442112 is 21124467.

76442112 is a `hidden beast` number, since 7 + 644 + 2 + 1 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72182016 + 4260096 = 8496^2 + 2064^2 .

It is not an unprimeable number, because it can be changed into a prime (76442117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244068 + ... + 244380.

Almost surely, 2^76442112 is an apocalyptic number.

76442112 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 76442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112748922).

76442112 is an abundant number, since it is smaller than the sum of its proper divisors (149055732).

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

76442112 is a wasteful number, since it uses less digits than its factorization.

76442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 371 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 76442112 is about 8743.1179793023. The cubic root of 76442112 is about 424.4021342067.

Adding to 76442112 its reverse (21124467), we get a palindrome (97566579).

The spelling of 76442112 in words is "seventy-six million, four hundred forty-two thousand, one hundred twelve".