728365 has 32 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 460800.

The previous prime is 728333. The next prime is 728369. The reversal of 728365 is 563827.

It is not a de Polignac number, because 728365 - 2⁵ = 728333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728369) 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 31 ways as a sum of consecutive naturals, for example, 17745 + ... + 17785.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2⁷²⁸³⁶⁵ is an apocalyptic number.

728365 is the 697-th pentagonal number.

It is an amenable number.

728365 is a deficient number, since it is larger than the sum of its proper divisors (360275).

728365 is a wasteful number, since it uses less digits than its factorization.

728365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93.

The product of its digits is 10080, while the sum is 31.

The square root of 728365 is about 853.4430268038. The cubic root of 728365 is about 89.9738607217.

The spelling of 728365 in words is "seven hundred twenty-eight thousand, three hundred sixty-five".