216552672 has 144 divisors (see below), whose sum is σ = 709188480. Its totient is φ = 61399296.

The previous prime is 216552631. The next prime is 216552673. The reversal of 216552672 is 276255612.

216552672 is a `hidden beast` number, since 2 + 1 + 65 + 526 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (216552673) 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, 328279 + ... + 328937.

It is an arithmetic number, because the mean of its divisors is an integer number (4924920).

Almost surely, 2^216552672 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 216552672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354594240).

216552672 is an abundant number, since it is smaller than the sum of its proper divisors (492635808).

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

216552672 is a wasteful number, since it uses less digits than its factorization.

216552672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 834 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 216552672 is about 14715.7287281330. The cubic root of 216552672 is about 600.5112975010.

The spelling of 216552672 in words is "two hundred sixteen million, five hundred fifty-two thousand, six hundred seventy-two".