221072 has 20 divisors (see below), whose sum is σ = 440076. Its totient is φ = 107520.

The previous prime is 221071. The next prime is 221077. The reversal of 221072 is 270122.

It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 190096 = 176^2 + 436^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 221072.

It is not an unprimeable number, because it can be changed into a prime (221071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 488 + ... + 824.

2²²¹⁰⁷² is an apocalyptic number.

It is an amenable number.

221072 is a deficient number, since it is larger than the sum of its proper divisors (219004).

221072 is a wasteful number, since it uses less digits than its factorization.

221072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 221072 is about 470.1829431190. The cubic root of 221072 is about 60.4660009778.

Adding to 221072 its reverse (270122), we get a palindrome (491194).

The spelling of 221072 in words is "two hundred twenty-one thousand, seventy-two", and thus it is an iban number.