72220 has 24 divisors (see below), whose sum is σ = 159264. Its totient is φ = 27456.

The previous prime is 72211. The next prime is 72221. The reversal of 72220 is 2227.

It is an Ulam number.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 72220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72221) 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 7 ways as a sum of consecutive naturals, for example, 382 + ... + 538.

It is an arithmetic number, because the mean of its divisors is an integer number (6636).

2⁷²²²⁰ 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 72220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79632).

72220 is an abundant number, since it is smaller than the sum of its proper divisors (87044).

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

72220 is a wasteful number, since it uses less digits than its factorization.

72220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 72220 is about 268.7377904203. The cubic root of 72220 is about 41.6440054553.

Adding to 72220 its reverse (2227), we get a palindrome (74447).

It can be divided in two parts, 72 and 220, that added together give a palindrome (292).

The spelling of 72220 in words is "seventy-two thousand, two hundred twenty", and thus it is an iban number.