217152672 has 192 divisors, whose sum is σ = 667699200. Its totient is φ = 61102080.

The previous prime is 217152641. The next prime is 217152673. The reversal of 217152672 is 276251712.

217152672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (217152673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1584988 + ... + 1585124.

It is an arithmetic number, because the mean of its divisors is an integer number (3477600).

Almost surely, 2^217152672 is an apocalyptic number.

217152672 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 217152672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333849600).

217152672 is an abundant number, since it is smaller than the sum of its proper divisors (450546528).

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

217152672 is a wasteful number, since it uses less digits than its factorization.

217152672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 217152672 is about 14736.1009768527. The cubic root of 217152672 is about 601.0653959881.

The spelling of 217152672 in words is "two hundred seventeen million, one hundred fifty-two thousand, six hundred seventy-two".