220772 has 12 divisors (see below), whose sum is σ = 391020. Its totient is φ = 109056.

The previous prime is 220771. The next prime is 220783. The reversal of 220772 is 277022.

It can be written as a sum of positive squares in 2 ways, for example, as 65536 + 155236 = 256^2 + 394^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 220772.

It is not an unprimeable number, because it can be changed into a prime (220771) 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, 104 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (32585).

2²²⁰⁷⁷² is an apocalyptic number.

It is an amenable number.

220772 is a deficient number, since it is larger than the sum of its proper divisors (170248).

220772 is a wasteful number, since it uses less digits than its factorization.

220772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 220772 is about 469.8638100556. The cubic root of 220772 is about 60.4386373258.

Adding to 220772 its reverse (277022), we get a palindrome (497794).

The spelling of 220772 in words is "two hundred twenty thousand, seven hundred seventy-two", and thus it is an iban number.