527712 has 48 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 167552.

The previous prime is 527701. The next prime is 527729. The reversal of 527712 is 217725.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2089 + ... + 2327.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁵²⁷⁷¹² 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 527712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

527712 is an abundant number, since it is smaller than the sum of its proper divisors (923808).

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

527712 is a wasteful number, since it uses less digits than its factorization.

527712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its digits is 980, while the sum is 24.

The square root of 527712 is about 726.4378844746. The cubic root of 527712 is about 80.8101023215.

The spelling of 527712 in words is "five hundred twenty-seven thousand, seven hundred twelve".