728065 has 16 divisors (see below), whose sum is σ = 983808. Its totient is φ = 513216.

The previous prime is 728047. The next prime is 728069. The reversal of 728065 is 560827.

It is a cyclic number.

It is not a de Polignac number, because 728065 - 2¹⁵ = 695297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1252 + ... + 1738.

It is an arithmetic number, because the mean of its divisors is an integer number (61488).

It is a Proth number, since it is equal to 711 ⋅ 2¹⁰ + 1 and 711 < 2¹⁰.

2⁷²⁸⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

728065 is a deficient number, since it is larger than the sum of its proper divisors (255743).

728065 is a wasteful number, since it uses less digits than its factorization.

728065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 728065 is about 853.2672500454. The cubic root of 728065 is about 89.9615061719.

The spelling of 728065 in words is "seven hundred twenty-eight thousand, sixty-five".