520072 has 32 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 216000.

The previous prime is 520067. The next prime is 520073. The reversal of 520072 is 270025.

It is a happy number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (520073) 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, 1947 + ... + 2197.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2⁵²⁰⁰⁷² 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 520072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

520072 is an abundant number, since it is smaller than the sum of its proper divisors (629048).

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

520072 is a wasteful number, since it uses less digits than its factorization.

520072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 520072 is about 721.1601763825. The cubic root of 520072 is about 80.4182264397.

Adding to 520072 its reverse (270025), we get a palindrome (790097).

Subtracting from 520072 its reverse (270025), we obtain a cube (250047 = 63³).

The spelling of 520072 in words is "five hundred twenty thousand, seventy-two".