216873072 has 240 divisors, whose sum is σ = 710405920. Its totient is φ = 62954496.

The previous prime is 216873071. The next prime is 216873073. The reversal of 216873072 is 270378612.

216873072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216873071) and next prime (216873073).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216873071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2970828 + ... + 2970900.

Almost surely, 2^216873072 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 216873072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355202960).

216873072 is an abundant number, since it is smaller than the sum of its proper divisors (493532848).

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

216873072 is a wasteful number, since it uses less digits than its factorization.

216873072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 114 counting only the distinct ones).

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

The square root of 216873072 is about 14726.6110154373. The cubic root of 216873072 is about 600.8073132550.

The spelling of 216873072 in words is "two hundred sixteen million, eight hundred seventy-three thousand, seventy-two".