528072 has 16 divisors (see below), whose sum is σ = 1320240. Its totient is φ = 176016.

The previous prime is 528053. The next prime is 528091. The reversal of 528072 is 270825.

It is an interprime number because it is at equal distance from previous prime (528053) and next prime (528091).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 22003 = 528072 / (5 + 2 + 8 + 0 + 7 + 2).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 528072.

It is an unprimeable number.

528072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10978 + ... + 11025.

It is an arithmetic number, because the mean of its divisors is an integer number (82515).

2⁵²⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

528072 is an abundant number, since it is smaller than the sum of its proper divisors (792168).

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

528072 is a wasteful number, since it uses less digits than its factorization.

528072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22012 (or 22008 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 528072 is about 726.6856266640. The cubic root of 528072 is about 80.8284741000.

Adding to 528072 its reverse (270825), we get a palindrome (798897).

The spelling of 528072 in words is "five hundred twenty-eight thousand, seventy-two".