729509 has 6 divisors (see below), whose sum is σ = 801990. Its totient is φ = 663080.

The previous prime is 729503. The next prime is 729511. The reversal of 729509 is 905927.

It can be written as a sum of positive squares in only one way, i.e., 717409 + 12100 = 847^2 + 110^2 .

It is not a de Polignac number, because 729509 - 2⁴ = 729493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729503) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2894 + ... + 3135.

It is an arithmetic number, because the mean of its divisors is an integer number (133665).

2⁷²⁹⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

729509 is a deficient number, since it is larger than the sum of its proper divisors (72481).

729509 is a wasteful number, since it uses less digits than its factorization.

729509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6051 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 729509 is about 854.1129901834. The cubic root of 729509 is about 90.0209416289.

The spelling of 729509 in words is "seven hundred twenty-nine thousand, five hundred nine".