522072 has 32 divisors (see below), whose sum is σ = 1450800. Its totient is φ = 173952.

The previous prime is 522061. The next prime is 522073. The reversal of 522072 is 270225.

It is a happy number.

522072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 5⁸ + 2⁵ + 0 + 2¹⁶ + 7³ + 2¹⁶ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 522072.

It is not an unprimeable number, because it can be changed into a prime (522073) by changing a digit.

522072 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 993 + ... + 1424.

2⁵²²⁰⁷² is an apocalyptic number.

It is an amenable number.

522072 is an abundant number, since it is smaller than the sum of its proper divisors (928728).

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

522072 is a wasteful number, since it uses less digits than its factorization.

522072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 522072 is about 722.5455002974. The cubic root of 522072 is about 80.5211805949.

Adding to 522072 its reverse (270225), we get a palindrome (792297).

The spelling of 522072 in words is "five hundred twenty-two thousand, seventy-two".