524072 has 16 divisors (see below), whose sum is σ = 993300. Its totient is φ = 259200.

The previous prime is 524071. The next prime is 524081. The reversal of 524072 is 270425.

It can be written as a sum of positive squares in 2 ways, for example, as 481636 + 42436 = 694^2 + 206^2 .

It is a super-2 number, since 2×524072² = 549302922368, which contains 22 as substring.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (524071) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 572 + ... + 1172.

2⁵²⁴⁰⁷² is an apocalyptic number.

It is an amenable number.

524072 is a deficient number, since it is larger than the sum of its proper divisors (469228).

524072 is a wasteful number, since it uses less digits than its factorization.

524072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 524072 is about 723.9281732327. The cubic root of 524072 is about 80.6238721474.

Adding to 524072 its reverse (270425), we get a palindrome (794497).

The spelling of 524072 in words is "five hundred twenty-four thousand, seventy-two".