527472 has 100 divisors (see below), whose sum is σ = 1710456. Its totient is φ = 155520.

The previous prime is 527453. The next prime is 527489. The reversal of 527472 is 274725.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14238 + ... + 14274.

2⁵²⁷⁴⁷² 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 527472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855228).

527472 is an abundant number, since it is smaller than the sum of its proper divisors (1182984).

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

527472 is a wasteful number, since it uses less digits than its factorization.

527472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 53 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 527472 is about 726.2726760660. The cubic root of 527472 is about 80.7978498268.

It can be divided in two parts, 527 and 472, that added together give a palindrome (999).

The spelling of 527472 in words is "five hundred twenty-seven thousand, four hundred seventy-two".