527972 has 12 divisors (see below), whose sum is σ = 972720. Its totient is φ = 250056.

The previous prime is 527941. The next prime is 527981. The reversal of 527972 is 279725.

It is a d-powerful number, because it can be written as 5⁵ + 2⁷ + 9² + 7 + 7³ + 2¹⁹ .

It is an unprimeable number.

527972 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, 3398 + ... + 3549.

It is an arithmetic number, because the mean of its divisors is an integer number (81060).

2⁵²⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

527972 is a deficient number, since it is larger than the sum of its proper divisors (444748).

527972 is a wasteful number, since it uses less digits than its factorization.

527972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6970 (or 6968 counting only the distinct ones).

The product of its digits is 8820, while the sum is 32.

The square root of 527972 is about 726.6168178621. The cubic root of 527972 is about 80.8233716660.

The spelling of 527972 in words is "five hundred twenty-seven thousand, nine hundred seventy-two".