742735305 has 64 divisors (see below), whose sum is σ = 1436977920. Its totient is φ = 361801728.

The previous prime is 742735283. The next prime is 742735309. The reversal of 742735305 is 503537247.

742735305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 742735305 - 2⁷ = 742735177 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 742735305.

It is not an unprimeable number, because it can be changed into a prime (742735309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168054 + ... + 172416.

It is an arithmetic number, because the mean of its divisors is an integer number (22452780).

Almost surely, 2^742735305 is an apocalyptic number.

It is an amenable number.

742735305 is a deficient number, since it is larger than the sum of its proper divisors (694242615).

742735305 is a wasteful number, since it uses less digits than its factorization.

742735305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 742735305 is about 27253.1705494975. The cubic root of 742735305 is about 905.6172564268.

The spelling of 742735305 in words is "seven hundred forty-two million, seven hundred thirty-five thousand, three hundred five".