527208 has 32 divisors (see below), whose sum is σ = 1438560. Its totient is φ = 159680.

The previous prime is 527207. The next prime is 527209. The reversal of 527208 is 802725.

It is an interprime number because it is at equal distance from previous prime (527207) and next prime (527209).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a d-powerful number, because it can be written as 5 + 2 + 2¹⁹ + 7⁴ + 0 + 8³ .

It is not an unprimeable number, because it can be changed into a prime (527203) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 735 + ... + 1262.

It is an arithmetic number, because the mean of its divisors is an integer number (44955).

2⁵²⁷²⁰⁸ is an apocalyptic number.

It is an amenable number.

527208 is an abundant number, since it is smaller than the sum of its proper divisors (911352).

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

527208 is a wasteful number, since it uses less digits than its factorization.

527208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 527208 is about 726.0909033998. The cubic root of 527208 is about 80.7843677892.

It can be divided in two parts, 52 and 7208, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 527208 in words is "five hundred twenty-seven thousand, two hundred eight".