528372 has 36 divisors (see below), whose sum is σ = 1439620. Its totient is φ = 162432.

The previous prime is 528329. The next prime is 528373. The reversal of 528372 is 273825.

528372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 60516 + 467856 = 246^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528373) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97 + ... + 1032.

2⁵²⁸³⁷² is an apocalyptic number.

528372 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 528372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719810).

528372 is an abundant number, since it is smaller than the sum of its proper divisors (911248).

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

528372 is a wasteful number, since it uses less digits than its factorization.

528372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1147 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 528372 is about 726.8920139883. The cubic root of 528372 is about 80.8437775383.

It can be divided in two parts, 528 and 372, that added together give a square (900 = 30²).

The spelling of 528372 in words is "five hundred twenty-eight thousand, three hundred seventy-two".