71942112 has 72 divisors (see below), whose sum is σ = 223193880. Its totient is φ = 21799680.

The previous prime is 71942093. The next prime is 71942153. The reversal of 71942112 is 21124917.

It is a tau number, because it is divible by the number of its divisors (72).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8187 + ... + 14522.

It is an arithmetic number, because the mean of its divisors is an integer number (3099915).

Almost surely, 2^71942112 is an apocalyptic number.

71942112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71942112 is an abundant number, since it is smaller than the sum of its proper divisors (151251768).

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

71942112 is a wasteful number, since it uses less digits than its factorization.

71942112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22736 (or 22725 counting only the distinct ones).

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

The square root of 71942112 is about 8481.8696052227. The cubic root of 71942112 is about 415.9052422241.

The spelling of 71942112 in words is "seventy-one million, nine hundred forty-two thousand, one hundred twelve".