217416072 has 32 divisors (see below), whose sum is σ = 551656800. Its totient is φ = 71389824.

The previous prime is 217416061. The next prime is 217416097. The reversal of 217416072 is 270614712.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65997 + ... + 69212.

It is an arithmetic number, because the mean of its divisors is an integer number (17239275).

Almost surely, 2^217416072 is an apocalyptic number.

It is an amenable number.

217416072 is an abundant number, since it is smaller than the sum of its proper divisors (334240728).

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

217416072 is a wasteful number, since it uses less digits than its factorization.

217416072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135285 (or 135281 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 217416072 is about 14745.0355035178. The cubic root of 217416072 is about 601.3083228564.

The spelling of 217416072 in words is "two hundred seventeen million, four hundred sixteen thousand, seventy-two".