217240672 has 24 divisors (see below), whose sum is σ = 466574472. Its totient is φ = 98745600.

The previous prime is 217240651. The next prime is 217240679. The reversal of 217240672 is 276042712.

It is a super-3 number, since 3×217240672³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217240679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 308229 + ... + 308932.

It is an arithmetic number, because the mean of its divisors is an integer number (19440603).

Almost surely, 2^217240672 is an apocalyptic number.

217240672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

217240672 is an abundant number, since it is smaller than the sum of its proper divisors (249333800).

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

217240672 is a wasteful number, since it uses less digits than its factorization.

217240672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617182 (or 617174 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 217240672 is about 14739.0865388599. The cubic root of 217240672 is about 601.1465779065.

The spelling of 217240672 in words is "two hundred seventeen million, two hundred forty thousand, six hundred seventy-two".