729073 has 2 divisors, whose sum is σ = 729074. Its totient is φ = 729072.

The previous prime is 729059. The next prime is 729139. The reversal of 729073 is 370927.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 717409 + 11664 = 847^2 + 108^2 .

It is a cyclic number.

It is not a de Polignac number, because 729073 - 2⁵ = 729041 is a prime.

729073 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (729023) by changing a digit.

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 as a sum of consecutive naturals, namely, 364536 + 364537.

It is an arithmetic number, because the mean of its divisors is an integer number (364537).

2⁷²⁹⁰⁷³ is an apocalyptic number.

It is an amenable number.

729073 is a deficient number, since it is larger than the sum of its proper divisors (1).

729073 is an equidigital number, since it uses as much as digits as its factorization.

729073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 729073 is about 853.8577164844. The cubic root of 729073 is about 90.0030040150.

The spelling of 729073 in words is "seven hundred twenty-nine thousand, seventy-three".