503272 has 64 divisors (see below), whose sum is σ = 1267200. Its totient is φ = 181440.

The previous prime is 503267. The next prime is 503287. The reversal of 503272 is 272305.

It is a happy number.

503272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

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

It is an unprimeable number.

503272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11683 + ... + 11725.

It is an arithmetic number, because the mean of its divisors is an integer number (19800).

2⁵⁰³²⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633600).

503272 is an abundant number, since it is smaller than the sum of its proper divisors (763928).

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

503272 is a wasteful number, since it uses less digits than its factorization.

503272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 503272 is about 709.4166617722. The cubic root of 503272 is about 79.5428088471.

Adding to 503272 its reverse (272305), we get a palindrome (775577).

The spelling of 503272 in words is "five hundred three thousand, two hundred seventy-two".