527272 has 16 divisors (see below), whose sum is σ = 1047060. Its totient is φ = 248064.

The previous prime is 527251. The next prime is 527273. The reversal of 527272 is 272725.

It can be written as a sum of positive squares in 2 ways, for example, as 527076 + 196 = 726^2 + 14^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527273) by changing a digit.

527272 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1803 + ... + 2074.

2⁵²⁷²⁷² is an apocalyptic number.

It is an amenable number.

527272 is a deficient number, since it is larger than the sum of its proper divisors (519788).

527272 is a wasteful number, since it uses less digits than its factorization.

527272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3896 counting only the distinct ones).

The product of its digits is 1960, while the sum is 25.

The square root of 527272 is about 726.1349736791. The cubic root of 527272 is about 80.7876365752.

Adding to 527272 its reverse (272725), we get a palindrome (799997).

The spelling of 527272 in words is "five hundred twenty-seven thousand, two hundred seventy-two".