217146072 has 192 divisors, whose sum is σ = 666178560. Its totient is φ = 58406400.

The previous prime is 217146071. The next prime is 217146091. The reversal of 217146072 is 270641712.

217146072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217146071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1383018 + ... + 1383174.

It is an arithmetic number, because the mean of its divisors is an integer number (3469680).

Almost surely, 2^217146072 is an apocalyptic number.

217146072 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 217146072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333089280).

217146072 is an abundant number, since it is smaller than the sum of its proper divisors (449032488).

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

217146072 is a wasteful number, since it uses less digits than its factorization.

217146072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

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

The square root of 217146072 is about 14735.8770353176. The cubic root of 217146072 is about 601.0593064602.

Adding to 217146072 its reverse (270641712), we get a palindrome (487787784).

The spelling of 217146072 in words is "two hundred seventeen million, one hundred forty-six thousand, seventy-two".