729023 has 2 divisors, whose sum is σ = 729024. Its totient is φ = 729022.

The previous prime is 729019. The next prime is 729037. The reversal of 729023 is 320927.

It is a weak prime.

It is an emirp because it is prime and its reverse (320927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 729023 - 2² = 729019 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 729023.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (729073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364511 + 364512.

It is an arithmetic number, because the mean of its divisors is an integer number (364512).

2⁷²⁹⁰²³ is an apocalyptic number.

729023 is a deficient number, since it is larger than the sum of its proper divisors (1).

729023 is an equidigital number, since it uses as much as digits as its factorization.

729023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 729023 is about 853.8284370996. The cubic root of 729023 is about 90.0009464921. Note that the first 3 decimals are identical.

Subtracting from 729023 its sum of digits (23), we obtain a cube (729000 = 90³).

The spelling of 729023 in words is "seven hundred twenty-nine thousand, twenty-three".