220572 has 36 divisors (see below), whose sum is σ = 609336. Its totient is φ = 66720.

The previous prime is 220559. The next prime is 220573. The reversal of 220572 is 275022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118 + ... + 674.

It is an arithmetic number, because the mean of its divisors is an integer number (16926).

2²²⁰⁵⁷² is an apocalyptic number.

220572 is a gapful number since it is divisible by the number (22) 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 220572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304668).

220572 is an abundant number, since it is smaller than the sum of its proper divisors (388764).

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

220572 is a wasteful number, since it uses less digits than its factorization.

220572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 573 counting only the distinct ones).

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

The square root of 220572 is about 469.6509342054. The cubic root of 220572 is about 60.4203811166.

Adding to 220572 its reverse (275022), we get a palindrome (495594).

The spelling of 220572 in words is "two hundred twenty thousand, five hundred seventy-two".