527352 has 64 divisors (see below), whose sum is σ = 1562880. Its totient is φ = 145152.

The previous prime is 527347. The next prime is 527353. The reversal of 527352 is 253725.

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

It is a d-powerful number, because it can be written as 5⁵ + 2¹⁶ + 3⁷ + 7³ + 5⁸ + 2¹⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527353) by changing a digit.

527352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7188 + ... + 7260.

It is an arithmetic number, because the mean of its divisors is an integer number (24420).

2⁵²⁷³⁵² 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 527352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781440).

527352 is an abundant number, since it is smaller than the sum of its proper divisors (1035528).

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

527352 is a wasteful number, since it uses less digits than its factorization.

527352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its digits is 2100, while the sum is 24.

The square root of 527352 is about 726.1900577672. The cubic root of 527352 is about 80.7917221857.

The spelling of 527352 in words is "five hundred twenty-seven thousand, three hundred fifty-two".