218381072 has 80 divisors (see below), whose sum is σ = 525299712. Its totient is φ = 85639680.

The previous prime is 218381071. The next prime is 218381077. The reversal of 218381072 is 270183812.

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 (218381071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184322 + ... + 185502.

Almost surely, 2^218381072 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 218381072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262649856).

218381072 is an abundant number, since it is smaller than the sum of its proper divisors (306918640).

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

218381072 is a wasteful number, since it uses less digits than its factorization.

218381072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 218381072 is about 14777.7221519421. The cubic root of 218381072 is about 602.1966444044.

The spelling of 218381072 in words is "two hundred eighteen million, three hundred eighty-one thousand, seventy-two".