504072 has 24 divisors (see below), whose sum is σ = 1365390. Its totient is φ = 168000.

The previous prime is 504061. The next prime is 504073. The reversal of 504072 is 270405.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 443556 + 60516 = 666^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (504073) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3429 + ... + 3572.

2⁵⁰⁴⁰⁷² is an apocalyptic number.

It is an amenable number.

504072 is an abundant number, since it is smaller than the sum of its proper divisors (861318).

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

504072 is a wasteful number, since it uses less digits than its factorization.

504072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7013 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 504072 is about 709.9802814163. The cubic root of 504072 is about 79.5849335558.

Adding to 504072 its reverse (270405), we get a palindrome (774477).

The spelling of 504072 in words is "five hundred four thousand, seventy-two".