79142112 has 144 divisors (see below), whose sum is σ = 264412512. Its totient is φ = 21980160.

The previous prime is 79142111. The next prime is 79142113. The reversal of 79142112 is 21124197.

It is an interprime number because it is at equal distance from previous prime (79142111) and next prime (79142113).

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79142111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74062 + ... + 75122.

It is an arithmetic number, because the mean of its divisors is an integer number (1836198).

Almost surely, 2^79142112 is an apocalyptic number.

79142112 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 79142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132206256).

79142112 is an abundant number, since it is smaller than the sum of its proper divisors (185270400).

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

79142112 is a wasteful number, since it uses less digits than its factorization.

79142112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1110 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 79142112 is about 8896.1852498697. The cubic root of 79142112 is about 429.3411796808.

The spelling of 79142112 in words is "seventy-nine million, one hundred forty-two thousand, one hundred twelve".