503072 has 24 divisors (see below), whose sum is σ = 1008000. Its totient is φ = 247104.

The previous prime is 503053. The next prime is 503077. The reversal of 503072 is 270305.

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

It is a self number, because there is not a number n which added to its sum of digits gives 503072.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 503072.

It is not an unprimeable number, because it can be changed into a prime (503077) by changing a digit.

503072 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 3 ways as a sum of consecutive naturals, for example, 2429 + ... + 2627.

It is an arithmetic number, because the mean of its divisors is an integer number (42000).

2⁵⁰³⁰⁷² is an apocalyptic number.

It is an amenable number.

503072 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

503072 is a wasteful number, since it uses less digits than its factorization.

503072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 503072 is about 709.2756868806. The cubic root of 503072 is about 79.5322706957.

Adding to 503072 its reverse (270305), we get a palindrome (773377).

The spelling of 503072 in words is "five hundred three thousand, seventy-two".