728759 has 8 divisors (see below), whose sum is σ = 754800. Its totient is φ = 703296.

The previous prime is 728747. The next prime is 728771. The reversal of 728759 is 957827.

It is an interprime number because it is at equal distance from previous prime (728747) and next prime (728771).

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

It is a cyclic number.

It is not a de Polignac number, because 728759 - 2⁴ = 728743 is a prime.

It is a Duffinian 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 728759.

It is not an unprimeable number, because it can be changed into a prime (728729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4817 + ... + 4965.

It is an arithmetic number, because the mean of its divisors is an integer number (94350).

2⁷²⁸⁷⁵⁹ is an apocalyptic number.

728759 is a deficient number, since it is larger than the sum of its proper divisors (26041).

728759 is a wasteful number, since it uses less digits than its factorization.

728759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289.

The product of its digits is 35280, while the sum is 38.

The square root of 728759 is about 853.6738252986. The cubic root of 728759 is about 89.9900812114.

The spelling of 728759 in words is "seven hundred twenty-eight thousand, seven hundred fifty-nine".