220672 has 20 divisors (see below), whose sum is σ = 441936. Its totient is φ = 110080.

The previous prime is 220667. The next prime is 220673. The reversal of 220672 is 276022.

It is a happy number.

It is a super-2 number, since 2×220672² = 97392263168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220673) 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 as a sum of consecutive naturals, namely, 297 + ... + 727.

2²²⁰⁶⁷² 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 220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220968).

220672 is an abundant number, since it is smaller than the sum of its proper divisors (221264).

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

220672 is an frugal number, since it uses more digits than its factorization.

220672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 220672 is about 469.7573841889. The cubic root of 220672 is about 60.4295106000.

Adding to 220672 its reverse (276022), we get a palindrome (496694).

It can be divided in two parts, 2206 and 72, that added together give a triangular number (2278 = T₆₇).

The spelling of 220672 in words is "two hundred twenty thousand, six hundred seventy-two".