219072 has 56 divisors (see below), whose sum is σ = 666496. Its totient is φ = 62208.

The previous prime is 219071. The next prime is 219083. The reversal of 219072 is 270912.

It is a happy number.

219072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 219072.

It is not an unprimeable number, because it can be changed into a prime (219071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1263 + ... + 1425.

2²¹⁹⁰⁷² 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 219072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333248).

219072 is an abundant number, since it is smaller than the sum of its proper divisors (447424).

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

219072 is a wasteful number, since it uses less digits than its factorization.

219072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 219072 is about 468.0512792419. The cubic root of 219072 is about 60.2831065217.

Adding to 219072 its reverse (270912), we get a palindrome (489984).

The spelling of 219072 in words is "two hundred nineteen thousand, seventy-two".