728192 has 16 divisors (see below), whose sum is σ = 1450950. Its totient is φ = 364032.

The previous prime is 728191. The next prime is 728207. The reversal of 728192 is 291827.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 440896 + 287296 = 664^2 + 536^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 728192.

It is not an unprimeable number, because it can be changed into a prime (728191) 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 as a sum of consecutive naturals, namely, 2717 + ... + 2972.

2⁷²⁸¹⁹² is an apocalyptic number.

It is an amenable number.

728192 is a deficient number, since it is larger than the sum of its proper divisors (722758).

728192 is an equidigital number, since it uses as much as digits as its factorization.

728192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5703 (or 5691 counting only the distinct ones).

The product of its digits is 2016, while the sum is 29.

The square root of 728192 is about 853.3416666260. The cubic root of 728192 is about 89.9667366788.

It can be divided in two parts, 72 and 8192, that multiplied together give a square (589824 = 768²).

The spelling of 728192 in words is "seven hundred twenty-eight thousand, one hundred ninety-two".