506772 has 36 divisors (see below), whose sum is σ = 1464736. Its totient is φ = 144720.

The previous prime is 506743. The next prime is 506773. The reversal of 506772 is 277605.

506772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506773) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 754 + ... + 1257.

2⁵⁰⁶⁷⁷² is an apocalyptic number.

It is an amenable number.

506772 is an abundant number, since it is smaller than the sum of its proper divisors (957964).

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

506772 is a wasteful number, since it uses less digits than its factorization.

506772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 506772 is about 711.8792032361. The cubic root of 506772 is about 79.7267762555.

The spelling of 506772 in words is "five hundred six thousand, seven hundred seventy-two".