218072736 has 360 divisors, whose sum is σ = 797762196. Its totient is φ = 58060800.

The previous prime is 218072707. The next prime is 218072759. The reversal of 218072736 is 637270812.

It can be written as a sum of positive squares in 2 ways, for example, as 178382736 + 39690000 = 13356^2 + 6300^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 218072736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2159086 + ... + 2159186.

Almost surely, 2^218072736 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 218072736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398881098).

218072736 is an abundant number, since it is smaller than the sum of its proper divisors (579689460).

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

218072736 is a wasteful number, since it uses less digits than its factorization.

218072736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

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

The square root of 218072736 is about 14767.2860065755. The cubic root of 218072736 is about 601.9130936381.

The spelling of 218072736 in words is "two hundred eighteen million, seventy-two thousand, seven hundred thirty-six".