219772 has 24 divisors (see below), whose sum is σ = 451584. Its totient is φ = 91632.

The previous prime is 219767. The next prime is 219787. The reversal of 219772 is 277912.

It is a happy number.

219772 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 219772.

It is a congruent number.

It is an unprimeable number.

219772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 1233 + ... + 1399.

It is an arithmetic number, because the mean of its divisors is an integer number (18816).

2²¹⁹⁷⁷² 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 219772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225792).

219772 is an abundant number, since it is smaller than the sum of its proper divisors (231812).

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

219772 is a wasteful number, since it uses less digits than its factorization.

219772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 223 counting only the distinct ones).

The product of its digits is 1764, while the sum is 28.

The square root of 219772 is about 468.7984641613. The cubic root of 219772 is about 60.3472457225.

The spelling of 219772 in words is "two hundred nineteen thousand, seven hundred seventy-two".