742107312 has 80 divisors (see below), whose sum is σ = 2133420000. Its totient is φ = 246986496.

The previous prime is 742107293. The next prime is 742107323. The reversal of 742107312 is 213701247.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478314 + ... + 479862.

It is an arithmetic number, because the mean of its divisors is an integer number (26667750).

Almost surely, 2^742107312 is an apocalyptic number.

742107312 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 742107312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066710000).

742107312 is an abundant number, since it is smaller than the sum of its proper divisors (1391312688).

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

742107312 is a wasteful number, since it uses less digits than its factorization.

742107312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 742107312 is about 27241.6466462657. The cubic root of 742107312 is about 905.3619471412.

Adding to 742107312 its reverse (213701247), we get a palindrome (955808559).

The spelling of 742107312 in words is "seven hundred forty-two million, one hundred seven thousand, three hundred twelve".