220072 has 8 divisors (see below), whose sum is σ = 412650. Its totient is φ = 110032.

The previous prime is 220063. The next prime is 220123. The reversal of 220072 is 270022.

It can be written as a sum of positive squares in only one way, i.e., 217156 + 2916 = 466^2 + 54^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

It is an unprimeable number.

220072 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 as a sum of consecutive naturals, namely, 13747 + ... + 13762.

2²²⁰⁰⁷² is an apocalyptic number.

It is an amenable number.

220072 is a deficient number, since it is larger than the sum of its proper divisors (192578).

220072 is a wasteful number, since it uses less digits than its factorization.

220072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27515 (or 27511 counting only the distinct ones).

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

The square root of 220072 is about 469.1183219615. The cubic root of 220072 is about 60.3746922614.

Adding to 220072 its reverse (270022), we get a palindrome (490094).

The spelling of 220072 in words is "two hundred twenty thousand, seventy-two", and thus it is an iban number.