728729 has 2 divisors, whose sum is σ = 728730. Its totient is φ = 728728.

The previous prime is 728723. The next prime is 728731. The reversal of 728729 is 927827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 458329 + 270400 = 677^2 + 520^2 .

It is a cyclic number.

It is not a de Polignac number, because 728729 - 2⁴ = 728713 is a prime.

It is a Sophie Germain prime.

Together with 728731, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (728723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364364 + 364365.

It is an arithmetic number, because the mean of its divisors is an integer number (364365).

2⁷²⁸⁷²⁹ is an apocalyptic number.

It is an amenable number.

728729 is a deficient number, since it is larger than the sum of its proper divisors (1).

728729 is an equidigital number, since it uses as much as digits as its factorization.

728729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14112, while the sum is 35.

The square root of 728729 is about 853.6562540039. The cubic root of 728729 is about 89.9888463544.

The spelling of 728729 in words is "seven hundred twenty-eight thousand, seven hundred twenty-nine".