527520 has 96 divisors (see below), whose sum is σ = 1911168. Its totient is φ = 119808.

The previous prime is 527507. The next prime is 527533. The reversal of 527520 is 25725.

It is an interprime number because it is at equal distance from previous prime (527507) and next prime (527533).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 3282 + ... + 3438.

It is an arithmetic number, because the mean of its divisors is an integer number (19908).

2⁵²⁷⁵²⁰ 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 527520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955584).

527520 is an abundant number, since it is smaller than the sum of its proper divisors (1383648).

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

527520 is a wasteful number, since it uses less digits than its factorization.

527520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 527520 is about 726.3057207540. The cubic root of 527520 is about 80.8003006230.

The spelling of 527520 in words is "five hundred twenty-seven thousand, five hundred twenty".