527772 has 48 divisors (see below), whose sum is σ = 1444352. Its totient is φ = 146880.

The previous prime is 527753. The next prime is 527789. The reversal of 527772 is 277725.

It is a d-powerful number, because it can be written as 5⁵ + 2 + 7 + 7 + 7³ + 2¹⁹ .

It is a congruent number.

It is an unprimeable number.

527772 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, 5073 + ... + 5175.

2⁵²⁷⁷⁷² 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 527772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722176).

527772 is an abundant number, since it is smaller than the sum of its proper divisors (916580).

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

527772 is a wasteful number, since it uses less digits than its factorization.

527772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 176 counting only the distinct ones).

The product of its digits is 6860, while the sum is 30.

The square root of 527772 is about 726.4791807065. The cubic root of 527772 is about 80.8131648647.

Subtracting from 527772 its reverse (277725), we obtain a cube (250047 = 63³).

The spelling of 527772 in words is "five hundred twenty-seven thousand, seven hundred seventy-two".