216307872 has 72 divisors (see below), whose sum is σ = 671055840. Its totient is φ = 65546880.

The previous prime is 216307867. The next prime is 216307873. The reversal of 216307872 is 278703612.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (216307873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30972 + ... + 37307.

It is an arithmetic number, because the mean of its divisors is an integer number (9320220).

Almost surely, 2^216307872 is an apocalyptic number.

216307872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

216307872 is an abundant number, since it is smaller than the sum of its proper divisors (454747968).

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

216307872 is a wasteful number, since it uses less digits than its factorization.

216307872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68306 (or 68295 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 216307872 is about 14707.4087452549. The cubic root of 216307872 is about 600.2849313355.

The spelling of 216307872 in words is "two hundred sixteen million, three hundred seven thousand, eight hundred seventy-two".