742287744 has 192 divisors, whose sum is σ = 2453630400. Its totient is φ = 213027840.

The previous prime is 742287743. The next prime is 742287757. The reversal of 742287744 is 447782247.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 742287744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742287743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239227 + ... + 242309.

It is an arithmetic number, because the mean of its divisors is an integer number (12779325).

Almost surely, 2^742287744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742287744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226815200).

742287744 is an abundant number, since it is smaller than the sum of its proper divisors (1711342656).

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

742287744 is a wasteful number, since it uses less digits than its factorization.

742287744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3118 counting only the distinct ones).

The product of its digits is 702464, while the sum is 45.

The square root of 742287744 is about 27244.9581390759. The cubic root of 742287744 is about 905.4353161481.

The spelling of 742287744 in words is "seven hundred forty-two million, two hundred eighty-seven thousand, seven hundred forty-four".