527072 has 48 divisors (see below), whose sum is σ = 1284192. Its totient is φ = 207360.

The previous prime is 527071. The next prime is 527081. The reversal of 527072 is 270725.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2822 + ... + 3002.

It is an arithmetic number, because the mean of its divisors is an integer number (26754).

2⁵²⁷⁰⁷² is an apocalyptic number.

527072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642096).

527072 is an abundant number, since it is smaller than the sum of its proper divisors (757120).

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

527072 is a wasteful number, since it uses less digits than its factorization.

527072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 527072 is about 725.9972451738. The cubic root of 527072 is about 80.7774207405. Note that the first 3 decimals are identical.

Adding to 527072 its reverse (270725), we get a palindrome (797797).

The spelling of 527072 in words is "five hundred twenty-seven thousand, seventy-two".