728577 has 6 divisors (see below), whose sum is σ = 1052402. Its totient is φ = 485712.

The previous prime is 728573. The next prime is 728579. The reversal of 728577 is 775827.

It can be written as a sum of positive squares in only one way, i.e., 531441 + 197136 = 729^2 + 444^2 .

It is not a de Polignac number, because 728577 - 2² = 728573 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728573) 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, 40468 + ... + 40485.

2⁷²⁸⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

728577 is a deficient number, since it is larger than the sum of its proper divisors (323825).

728577 is a wasteful number, since it uses less digits than its factorization.

728577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80959 (or 80956 counting only the distinct ones).

The product of its digits is 27440, while the sum is 36.

The square root of 728577 is about 853.5672205515. The cubic root of 728577 is about 89.9825892246.

It can be divided in two parts, 72 and 8577, that added together give a square (8649 = 93²).

The spelling of 728577 in words is "seven hundred twenty-eight thousand, five hundred seventy-seven".