218072 has 8 divisors (see below), whose sum is σ = 408900. Its totient is φ = 109032.

The previous prime is 218069. The next prime is 218077. The reversal of 218072 is 270812.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13622 + ... + 13637.

2²¹⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

218072 is a deficient number, since it is larger than the sum of its proper divisors (190828).

218072 is a wasteful number, since it uses less digits than its factorization.

218072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27265 (or 27261 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 218072 is about 466.9817983605. The cubic root of 218072 is about 60.1912416481.

Adding to 218072 its reverse (270812), we get a palindrome (488884).

The spelling of 218072 in words is "two hundred eighteen thousand, seventy-two".