729243027001 has 4 divisors (see below), whose sum is σ = 729324054004. Its totient is φ = 729162009000.

The previous prime is 729243026987. The next prime is 729243027119. The reversal of 729243027001 is 100720342927.

The cubic root of 729243027001 is 9001.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 12597817600 + 716645209401 = 112240^2 + 846549^2 .

It is not a de Polignac number, because 729243027001 - 2²⁹ = 728706156089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (729253027001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81013501 + ... + 81022501.

It is an arithmetic number, because the mean of its divisors is an integer number (182331013501).

Almost surely, 2^729243027001 is an apocalyptic number.

It is an amenable number.

729243027001 is a deficient number, since it is larger than the sum of its proper divisors (81027003).

729243027001 is an frugal number, since it uses more digits than its factorization.

729243027001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27003 (or 9001 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

Adding to 729243027001 its reverse (100720342927), we get a palindrome (829963369928).

The spelling of 729243027001 in words is "seven hundred twenty-nine billion, two hundred forty-three million, twenty-seven thousand, one".