524272 has 40 divisors (see below), whose sum is σ = 1206272. Its totient is φ = 216000.

The previous prime is 524269. The next prime is 524287. The reversal of 524272 is 272425.

It is a super-2 number, since 2×524272² = 549722259968, which contains 22 as substring.

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3397 + ... + 3547.

524272 is a Friedman number, since it can be written as 2^(5+7*2)-2^4, using all its digits and the basic arithmetic operations.

2⁵²⁴²⁷² 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 524272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603136).

524272 is an abundant number, since it is smaller than the sum of its proper divisors (682000).

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

524272 is a wasteful number, since it uses less digits than its factorization.

524272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its digits is 1120, while the sum is 22.

The square root of 524272 is about 724.0662953073. The cubic root of 524272 is about 80.6341269238.

Adding to 524272 its reverse (272425), we get a palindrome (796697).

The spelling of 524272 in words is "five hundred twenty-four thousand, two hundred seventy-two".