503712 has 96 divisors (see below), whose sum is σ = 1632960. Its totient is φ = 149760.

The previous prime is 503707. The next prime is 503717. The reversal of 503712 is 217305.

It is an interprime number because it is at equal distance from previous prime (503707) and next prime (503717).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 503712.

It is not an unprimeable number, because it can be changed into a prime (503717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9478 + ... + 9530.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2⁵⁰³⁷¹² 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 503712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816480).

503712 is an abundant number, since it is smaller than the sum of its proper divisors (1129248).

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

503712 is a wasteful number, since it uses less digits than its factorization.

503712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 503712 is about 709.7267079658. The cubic root of 503712 is about 79.5659829565.

The spelling of 503712 in words is "five hundred three thousand, seven hundred twelve".