216120072 has 64 divisors (see below), whose sum is σ = 627638400. Its totient is φ = 60733440.

The previous prime is 216120043. The next prime is 216120083. The reversal of 216120072 is 270021612.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297 + ... + 20792.

It is an arithmetic number, because the mean of its divisors is an integer number (9806850).

Almost surely, 2^216120072 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 216120072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313819200).

216120072 is an abundant number, since it is smaller than the sum of its proper divisors (411518328).

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

216120072 is a wasteful number, since it uses less digits than its factorization.

216120072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21166 (or 21162 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 216120072 is about 14701.0228215590. The cubic root of 216120072 is about 600.1111571833. Note that the first 4 decimals are identical.

Adding to 216120072 its reverse (270021612), we get a palindrome (486141684).

The spelling of 216120072 in words is "two hundred sixteen million, one hundred twenty thousand, seventy-two".