503772 has 12 divisors (see below), whose sum is σ = 1175496. Its totient is φ = 167920.

The previous prime is 503771. The next prime is 503777. The reversal of 503772 is 277305.

503772 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503771) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20979 + ... + 21002.

It is an arithmetic number, because the mean of its divisors is an integer number (97958).

2⁵⁰³⁷⁷² is an apocalyptic number.

It is an amenable number.

503772 is an abundant number, since it is smaller than the sum of its proper divisors (671724).

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

503772 is a wasteful number, since it uses less digits than its factorization.

503772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41988 (or 41986 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 503772 is about 709.7689764987. The cubic root of 503772 is about 79.5691420166.

It can be divided in two parts, 503 and 772, that added together give a triangular number (1275 = T₅₀).

The spelling of 503772 in words is "five hundred three thousand, seven hundred seventy-two".