729385 has 8 divisors (see below), whose sum is σ = 926856. Its totient is φ = 549120.

The previous prime is 729373. The next prime is 729389. The reversal of 729385 is 583927.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 724201 = 72^2 + 851^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 729385 - 2⁷ = 729257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 729385.

It is not an unprimeable number, because it can be changed into a prime (729389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4206 + ... + 4375.

It is an arithmetic number, because the mean of its divisors is an integer number (115857).

2⁷²⁹³⁸⁵ is an apocalyptic number.

It is an amenable number.

729385 is a deficient number, since it is larger than the sum of its proper divisors (197471).

729385 is a wasteful number, since it uses less digits than its factorization.

729385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8603.

The product of its digits is 15120, while the sum is 34.

The square root of 729385 is about 854.0403971710. The cubic root of 729385 is about 90.0158408331.

It can be divided in two parts, 7 and 29385, that added together give a palindrome (29392).

The spelling of 729385 in words is "seven hundred twenty-nine thousand, three hundred eighty-five".