729729243027001 has 64 divisors (see below), whose sum is σ = 912782157414400. Its totient is φ = 569275088731200.

The previous prime is 729729243026989. The next prime is 729729243027013. The reversal of 729729243027001 is 100720342927927.

It is a Cunningham number, because it is equal to 90030³+1.

It is an interprime number because it is at equal distance from previous prime (729729243026989) and next prime (729729243027013).

It is a cyclic number.

It is not a de Polignac number, because 729729243027001 - 2⁷ = 729729243026873 is a prime.

It is a super-4 number, since 4×729729243027001⁴ (a number of 61 digits) contains 4444 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 729729243027001 = 1³ + 90030³ = 9001³ + 90000³.

It is not an unprimeable number, because it can be changed into a prime (729729243027091) 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, 8105265856 + ... + 8105355886.

It is an arithmetic number, because the mean of its divisors is an integer number (14262221209600).

Almost surely, 2^{729729243027001} is an apocalyptic number.

It is an amenable number.

729729243027001 is a deficient number, since it is larger than the sum of its proper divisors (183052914387399).

729729243027001 is a wasteful number, since it uses less digits than its factorization.

729729243027001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104370.

The product of its (nonzero) digits is 5334336, while the sum is 55.

It can be divided in two parts, 729 and 729243027001, that multiplied together give a cube (531618166683729 = 81009³).

The spelling of 729729243027001 in words is "seven hundred twenty-nine trillion, seven hundred twenty-nine billion, two hundred forty-three million, twenty-seven thousand, one".