509072 has 10 divisors (see below), whose sum is σ = 986358. Its totient is φ = 254528.

The previous prime is 509071. The next prime is 509087. The reversal of 509072 is 270905.

It can be written as a sum of positive squares in only one way, i.e., 495616 + 13456 = 704^2 + 116^2 .

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (509071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15893 + ... + 15924.

2⁵⁰⁹⁰⁷² is an apocalyptic number.

It is an amenable number.

509072 is a deficient number, since it is larger than the sum of its proper divisors (477286).

509072 is a wasteful number, since it uses less digits than its factorization.

509072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31825 (or 31819 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 509072 is about 713.4928170627. The cubic root of 509072 is about 79.8472083698.

Adding to 509072 its reverse (270905), we get a palindrome (779977).

The spelling of 509072 in words is "five hundred nine thousand, seventy-two".