502272 has 60 divisors (see below), whose sum is σ = 1462890. Its totient is φ = 165888.

The previous prime is 502261. The next prime is 502277. The reversal of 502272 is 272205.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 112896 = 624^2 + 336^2 .

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (502277) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4554 + ... + 4662.

2⁵⁰²²⁷² 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 502272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731445).

502272 is an abundant number, since it is smaller than the sum of its proper divisors (960618).

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

502272 is a wasteful number, since it uses less digits than its factorization.

502272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

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

The square root of 502272 is about 708.7115068912. The cubic root of 502272 is about 79.4900901377.

Adding to 502272 its reverse (272205), we get a palindrome (774477).

The spelling of 502272 in words is "five hundred two thousand, two hundred seventy-two".