216756672 has 112 divisors (see below), whose sum is σ = 647395200. Its totient is φ = 63400960.

The previous prime is 216756667. The next prime is 216756733. The reversal of 216756672 is 276657612.

216756672 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59479 + ... + 63017.

Almost surely, 2^216756672 is an apocalyptic number.

216756672 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 216756672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323697600).

216756672 is an abundant number, since it is smaller than the sum of its proper divisors (430638528).

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

216756672 is a wasteful number, since it uses less digits than its factorization.

216756672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594 (or 3584 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 216756672 is about 14722.6584555915. The cubic root of 216756672 is about 600.6998056916.

The spelling of 216756672 in words is "two hundred sixteen million, seven hundred fifty-six thousand, six hundred seventy-two".