218385072 has 120 divisors (see below), whose sum is σ = 642719280. Its totient is φ = 71873568.

The previous prime is 218385067. The next prime is 218385073. The reversal of 218385072 is 270583812.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (218385073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2764329 + ... + 2764407.

It is an arithmetic number, because the mean of its divisors is an integer number (5355994).

Almost surely, 2^218385072 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 218385072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321359640).

218385072 is an abundant number, since it is smaller than the sum of its proper divisors (424334208).

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

218385072 is an frugal number, since it uses more digits than its factorization.

218385072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 218385072 is about 14777.8574901777. The cubic root of 218385072 is about 602.2003211147.

The spelling of 218385072 in words is "two hundred eighteen million, three hundred eighty-five thousand, seventy-two".