728072 has 8 divisors (see below), whose sum is σ = 1365150. Its totient is φ = 364032.

The previous prime is 728069. The next prime is 728087. The reversal of 728072 is 270827.

It can be written as a sum of positive squares in only one way, i.e., 682276 + 45796 = 826^2 + 214^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 728072.

It is an unprimeable number.

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, 45497 + ... + 45512.

2⁷²⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

728072 is a deficient number, since it is larger than the sum of its proper divisors (637078).

728072 is a wasteful number, since it uses less digits than its factorization.

728072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91015 (or 91011 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 728072 is about 853.2713519157. The cubic root of 728072 is about 89.9617944834.

Adding to 728072 its reverse (270827), we get a palindrome (998899).

The spelling of 728072 in words is "seven hundred twenty-eight thousand, seventy-two".