218367072 has 288 divisors, whose sum is σ = 795674880. Its totient is φ = 55157760.

The previous prime is 218366987. The next prime is 218367073. The reversal of 218367072 is 270763812.

It is a tau number, because it is divible by the number of its divisors (288).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218367073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 953454 + ... + 953682.

It is an arithmetic number, because the mean of its divisors is an integer number (2762760).

Almost surely, 2^218367072 is an apocalyptic number.

218367072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218367072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397837440).

218367072 is an abundant number, since it is smaller than the sum of its proper divisors (577307808).

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

218367072 is a wasteful number, since it uses less digits than its factorization.

218367072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 218367072 is about 14777.2484583565. The cubic root of 218367072 is about 602.1837755644.

The spelling of 218367072 in words is "two hundred eighteen million, three hundred sixty-seven thousand, seventy-two".