729382593 has 16 divisors (see below), whose sum is σ = 981248256. Its totient is φ = 481902720.

The previous prime is 729382571. The next prime is 729382597. The reversal of 729382593 is 395283927.

It is a happy number.

It is not a de Polignac number, because 729382593 - 2⁶ = 729382529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (729382597) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201205 + ... + 204797.

It is an arithmetic number, because the mean of its divisors is an integer number (61328016).

Almost surely, 2^729382593 is an apocalyptic number.

It is an amenable number.

729382593 is a deficient number, since it is larger than the sum of its proper divisors (251865663).

729382593 is a wasteful number, since it uses less digits than its factorization.

729382593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4184.

The product of its digits is 816480, while the sum is 48.

The square root of 729382593 is about 27007.0841262066. The cubic root of 729382593 is about 900.1574181435.

The spelling of 729382593 in words is "seven hundred twenty-nine million, three hundred eighty-two thousand, five hundred ninety-three".