217260672 has 64 divisors (see below), whose sum is σ = 579368160. Its totient is φ = 72135680.

The previous prime is 217260643. The next prime is 217260733. The reversal of 217260672 is 276062712.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111547 + ... + 113477.

Almost surely, 2^217260672 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 217260672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289684080).

217260672 is an abundant number, since it is smaller than the sum of its proper divisors (362107488).

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

217260672 is a wasteful number, since it uses less digits than its factorization.

217260672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 217260672 is about 14739.7649913423. The cubic root of 217260672 is about 601.1650252849.

The spelling of 217260672 in words is "two hundred seventeen million, two hundred sixty thousand, six hundred seventy-two".