527731072 has 64 divisors (see below), whose sum is σ = 1163289600. Its totient is φ = 236454400.

The previous prime is 527731063. The next prime is 527731079. The reversal of 527731072 is 270137725.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527731079) 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 7 ways as a sum of consecutive naturals, for example, 97329 + ... + 102607.

It is an arithmetic number, because the mean of its divisors is an integer number (18176400).

Almost surely, 2^527731072 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 527731072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581644800).

527731072 is an abundant number, since it is smaller than the sum of its proper divisors (635558528).

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

527731072 is a wasteful number, since it uses less digits than its factorization.

527731072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5375 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 34.

The square root of 527731072 is about 22972.3980463512. The cubic root of 527731072 is about 808.1107582705.

Adding to 527731072 its reverse (270137725), we get a palindrome (797868797).

The spelling of 527731072 in words is "five hundred twenty-seven million, seven hundred thirty-one thousand, seventy-two".