729765 has 12 divisors (see below), whose sum is σ = 1265004. Its totient is φ = 389184.

The previous prime is 729761. The next prime is 729779. The reversal of 729765 is 567927.

729765 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 431649 + 298116 = 657^2 + 546^2 .

It is not a de Polignac number, because 729765 - 2² = 729761 is a prime.

It is an Ulam number.

It is a Curzon number.

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 729765.

It is not an unprimeable number, because it can be changed into a prime (729761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8064 + ... + 8153.

It is an arithmetic number, because the mean of its divisors is an integer number (105417).

2⁷²⁹⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

729765 is a deficient number, since it is larger than the sum of its proper divisors (535239).

729765 is a wasteful number, since it uses less digits than its factorization.

729765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16228 (or 16225 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 729765 is about 854.2628401142. The cubic root of 729765 is about 90.0314704759.

The spelling of 729765 in words is "seven hundred twenty-nine thousand, seven hundred sixty-five".