272220 has 48 divisors (see below), whose sum is σ = 823200. Its totient is φ = 66816.

The previous prime is 272203. The next prime is 272227. The reversal of 272220 is 22272.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 272220.

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 272220.

It is not an unprimeable number, because it can be changed into a prime (272227) by changing a digit.

272220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606 + ... + 954.

It is an arithmetic number, because the mean of its divisors is an integer number (17150).

2²⁷²²²⁰ is an apocalyptic number.

272220 is a gapful number since it is divisible by the number (20) 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 272220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411600).

272220 is an abundant number, since it is smaller than the sum of its proper divisors (550980).

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

272220 is a wasteful number, since it uses less digits than its factorization.

272220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 272220 is about 521.7470651571. The cubic root of 272220 is about 64.8096998130.

Adding to 272220 its reverse (22272), we get a palindrome (294492).

The spelling of 272220 in words is "two hundred seventy-two thousand, two hundred twenty", and thus it is an iban number.