216915072 has 128 divisors (see below), whose sum is σ = 636724800. Its totient is φ = 64880640.

The previous prime is 216915067. The next prime is 216915103. The reversal of 216915072 is 270519612.

216915072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375648 + ... + 376224.

Almost surely, 2^216915072 is an apocalyptic number.

216915072 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 216915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318362400).

216915072 is an abundant number, since it is smaller than the sum of its proper divisors (419809728).

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

216915072 is a wasteful number, since it uses less digits than its factorization.

216915072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 216915072 is about 14728.0369364013. The cubic root of 216915072 is about 600.8460951996.

The spelling of 216915072 in words is "two hundred sixteen million, nine hundred fifteen thousand, seventy-two".