729365 has 24 divisors (see below), whose sum is σ = 1101240. Its totient is φ = 459648.

The previous prime is 729359. The next prime is 729367. The reversal of 729365 is 563927.

729365 = 33² + 34² + ... + 130².

It can be written as a sum of positive squares in 4 ways, for example, as 103684 + 625681 = 322^2 + 791^2 .

It is not a de Polignac number, because 729365 - 2⁶ = 729301 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 729365.

It is not an unprimeable number, because it can be changed into a prime (729367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3071 + ... + 3299.

It is an arithmetic number, because the mean of its divisors is an integer number (45885).

2⁷²⁹³⁶⁵ is an apocalyptic number.

It is an amenable number.

729365 is a deficient number, since it is larger than the sum of its proper divisors (371875).

729365 is a wasteful number, since it uses less digits than its factorization.

729365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 254 counting only the distinct ones).

The product of its digits is 11340, while the sum is 32.

The square root of 729365 is about 854.0286880427. The cubic root of 729365 is about 90.0150180700.

It can be divided in two parts, 729 and 365, that multiplied together give a triangular number (266085 = T₇₂₉).

The spelling of 729365 in words is "seven hundred twenty-nine thousand, three hundred sixty-five".