506072 has 24 divisors (see below), whose sum is σ = 1104660. Its totient is φ = 216720.

The previous prime is 506071. The next prime is 506083. The reversal of 506072 is 270605.

It is a super-2 number, since 2×506072² = 512217738368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 254 + ... + 1037.

2⁵⁰⁶⁰⁷² is an apocalyptic number.

It is an amenable number.

506072 is an abundant number, since it is smaller than the sum of its proper divisors (598588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506072 is a wasteful number, since it uses less digits than its factorization.

506072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 506072 is about 711.3873768911. The cubic root of 506072 is about 79.6900506937.

Adding to 506072 its reverse (270605), we get a palindrome (776677).

The spelling of 506072 in words is "five hundred six thousand, seventy-two".