220872 has 16 divisors (see below), whose sum is σ = 552240. Its totient is φ = 73616.

The previous prime is 220861. The next prime is 220873. The reversal of 220872 is 278022.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (220873) by changing a digit.

220872 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 3 ways as a sum of consecutive naturals, for example, 4578 + ... + 4625.

It is an arithmetic number, because the mean of its divisors is an integer number (34515).

2²²⁰⁸⁷² is an apocalyptic number.

It is an amenable number.

220872 is an abundant number, since it is smaller than the sum of its proper divisors (331368).

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

220872 is a wasteful number, since it uses less digits than its factorization.

220872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9212 (or 9208 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 220872 is about 469.9702118220. The cubic root of 220872 is about 60.4477612959.

Adding to 220872 its reverse (278022), we get a palindrome (498894).

The spelling of 220872 in words is "two hundred twenty thousand, eight hundred seventy-two".