503672 has 32 divisors (see below), whose sum is σ = 1058400. Its totient is φ = 223104.

The previous prime is 503663. The next prime is 503707. The reversal of 503672 is 276305.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 503672.

It is an unprimeable number.

503672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2933 + ... + 3099.

It is an arithmetic number, because the mean of its divisors is an integer number (33075).

2⁵⁰³⁶⁷² is an apocalyptic number.

503672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529200).

503672 is an abundant number, since it is smaller than the sum of its proper divisors (554728).

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

503672 is a wasteful number, since it uses less digits than its factorization.

503672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 503672 is about 709.6985275453. The cubic root of 503672 is about 79.5638767771.

Adding to 503672 its reverse (276305), we get a palindrome (779977).

The spelling of 503672 in words is "five hundred three thousand, six hundred seventy-two".