216732672 has 264 divisors, whose sum is σ = 709342816. Its totient is φ = 65691648.

The previous prime is 216732667. The next prime is 216732679. The reversal of 216732672 is 276237612.

It is a happy number.

It is a super-2 number, since 2×216732672² = 93946102224519168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216732679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3234783 + ... + 3234849.

Almost surely, 2^216732672 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 216732672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354671408).

216732672 is an abundant number, since it is smaller than the sum of its proper divisors (492610144).

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

216732672 is an equidigital number, since it uses as much as digits as its factorization.

216732672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 85 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 216732672 is about 14721.8433628401. The cubic root of 216732672 is about 600.6776343979.

The spelling of 216732672 in words is "two hundred sixteen million, seven hundred thirty-two thousand, six hundred seventy-two".