217345672072 has 24 divisors (see below), whose sum is σ = 421093119150. Its totient is φ = 105167256960.

The previous prime is 217345672069. The next prime is 217345672091. The reversal of 217345672072 is 270276543712.

217345672072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 177067590436 + 40278081636 = 420794^2 + 200694^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14127697 + ... + 14143072.

Almost surely, 2^217345672072 is an apocalyptic number.

It is an amenable number.

217345672072 is a deficient number, since it is larger than the sum of its proper divisors (203747447078).

217345672072 is a wasteful number, since it uses less digits than its factorization.

217345672072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28270837 (or 28270802 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 46.

The spelling of 217345672072 in words is "two hundred seventeen billion, three hundred forty-five million, six hundred seventy-two thousand, seventy-two".