216300672 has 128 divisors (see below), whose sum is σ = 729667200. Its totient is φ = 61793280.

The previous prime is 216300661. The next prime is 216300677. The reversal of 216300672 is 276003612.

It is a happy number.

216300672 is a `hidden beast` number, since 21 + 630 + 0 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (216300677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19722 + ... + 28662.

It is an arithmetic number, because the mean of its divisors is an integer number (5700525).

Almost surely, 2^216300672 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 216300672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364833600).

216300672 is an abundant number, since it is smaller than the sum of its proper divisors (513366528).

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

216300672 is an equidigital number, since it uses as much as digits as its factorization.

216300672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8971 (or 8953 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 216300672 is about 14707.1639686243. The cubic root of 216300672 is about 600.2782709222.

The spelling of 216300672 in words is "two hundred sixteen million, three hundred thousand, six hundred seventy-two".