728753 has 4 divisors (see below), whose sum is σ = 734448. Its totient is φ = 723060.

The previous prime is 728747. The next prime is 728771. The reversal of 728753 is 357827.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 728753 - 2¹⁰ = 727729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728713) 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 in 3 ways as a sum of consecutive naturals, for example, 2651 + ... + 2912.

It is an arithmetic number, because the mean of its divisors is an integer number (183612).

2⁷²⁸⁷⁵³ is an apocalyptic number.

It is an amenable number.

728753 is a deficient number, since it is larger than the sum of its proper divisors (5695).

728753 is a wasteful number, since it uses less digits than its factorization.

728753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694.

The product of its digits is 11760, while the sum is 32.

The square root of 728753 is about 853.6703110686. The cubic root of 728753 is about 89.9898342427.

The spelling of 728753 in words is "seven hundred twenty-eight thousand, seven hundred fifty-three".