728361 has 6 divisors (see below), whose sum is σ = 1052090. Its totient is φ = 485568.

The previous prime is 728333. The next prime is 728369. The reversal of 728361 is 163827.

728361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 670761 + 57600 = 819^2 + 240^2 .

It is not a de Polignac number, because 728361 - 2¹⁵ = 695593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728369) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40456 + ... + 40473.

2⁷²⁸³⁶¹ is an apocalyptic number.

It is an amenable number.

728361 is a deficient number, since it is larger than the sum of its proper divisors (323729).

728361 is a wasteful number, since it uses less digits than its factorization.

728361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80935 (or 80932 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 728361 is about 853.4406833518. The cubic root of 728361 is about 89.9736960167.

It can be divided in two parts, 728 and 361, that added together give a square (1089 = 33²).

The spelling of 728361 in words is "seven hundred twenty-eight thousand, three hundred sixty-one".