742118112 has 144 divisors (see below), whose sum is σ = 2304207360. Its totient is φ = 234306432.

The previous prime is 742118101. The next prime is 742118129. The reversal of 742118112 is 211811247.

742118112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145233 + ... + 150255.

It is an arithmetic number, because the mean of its divisors is an integer number (16001440).

Almost surely, 2^742118112 is an apocalyptic number.

742118112 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 742118112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152103680).

742118112 is an abundant number, since it is smaller than the sum of its proper divisors (1562089248).

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

742118112 is a wasteful number, since it uses less digits than its factorization.

742118112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067 (or 5047 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 742118112 is about 27241.8448714473. The cubic root of 742118112 is about 905.3663390764.

Adding to 742118112 its reverse (211811247), we get a palindrome (953929359).

The spelling of 742118112 in words is "seven hundred forty-two million, one hundred eighteen thousand, one hundred twelve".