526752 has 72 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 167040.

The previous prime is 526741. The next prime is 526759. The reversal of 526752 is 257625.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (526759) by changing a digit.

526752 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 (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8899 + ... + 8957.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2⁵²⁶⁷⁵² 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 526752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

526752 is an abundant number, since it is smaller than the sum of its proper divisors (1045728).

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

526752 is a wasteful number, since it uses less digits than its factorization.

526752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 526752 is about 725.7768252018. The cubic root of 526752 is about 80.7610700284.

The spelling of 526752 in words is "five hundred twenty-six thousand, seven hundred fifty-two".