742112 has 24 divisors (see below), whose sum is σ = 1670256. Its totient is φ = 317952.

The previous prime is 742111. The next prime is 742117. The reversal of 742112 is 211247.

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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 742112.

It is not an unprimeable number, because it can be changed into a prime (742111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1433 + ... + 1880.

It is an arithmetic number, because the mean of its divisors is an integer number (69594).

2⁷⁴²¹¹² is an apocalyptic number.

It is an amenable number.

742112 is an abundant number, since it is smaller than the sum of its proper divisors (928144).

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

742112 is a wasteful number, since it uses less digits than its factorization.

742112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3322 counting only the distinct ones).

The product of its digits is 112, while the sum is 17.

The square root of 742112 is about 861.4592271257. The cubic root of 742112 is about 90.5363853572.

Adding to 742112 its reverse (211247), we get a palindrome (953359).

The spelling of 742112 in words is "seven hundred forty-two thousand, one hundred twelve", and thus it is an iban number.