742189824 has 72 divisors (see below), whose sum is σ = 2194806320. Its totient is φ = 247394304.

The previous prime is 742189751. The next prime is 742189853. The reversal of 742189824 is 428981247.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 742189824.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 46777 + ... + 60600.

Almost surely, 2^742189824 is an apocalyptic number.

It is an amenable number.

742189824 is an abundant number, since it is smaller than the sum of its proper divisors (1452616496).

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

742189824 is a wasteful number, since it uses less digits than its factorization.

742189824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107402 (or 107382 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 742189824 is about 27243.1610500691. The cubic root of 742189824 is about 905.3955004451.

The spelling of 742189824 in words is "seven hundred forty-two million, one hundred eighty-nine thousand, eight hundred twenty-four".