216109872 has 180 divisors, whose sum is σ = 677491360. Its totient is φ = 64247040.

The previous prime is 216109849. The next prime is 216109877. The reversal of 216109872 is 278901612.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (216109877) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1376418 + ... + 1376574.

Almost surely, 2^216109872 is an apocalyptic number.

216109872 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 216109872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338745680).

216109872 is an abundant number, since it is smaller than the sum of its proper divisors (461381488).

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

216109872 is a wasteful number, since it uses less digits than its factorization.

216109872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 216109872 is about 14700.6759028284. The cubic root of 216109872 is about 600.1017160888.

The spelling of 216109872 in words is "two hundred sixteen million, one hundred nine thousand, eight hundred seventy-two".