216072120 has 192 divisors, whose sum is σ = 744629760. Its totient is φ = 50026240.

The previous prime is 216072107. The next prime is 216072133. The reversal of 216072120 is 21270612.

It is an interprime number because it is at equal distance from previous prime (216072107) and next prime (216072133).

It is a super-2 number, since 2×216072120² = 93374322082588800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333637 + ... + 334283.

It is an arithmetic number, because the mean of its divisors is an integer number (3878280).

Almost surely, 2^216072120 is an apocalyptic number.

216072120 is a gapful number since it is divisible by the number (20) 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 216072120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372314880).

216072120 is an abundant number, since it is smaller than the sum of its proper divisors (528557640).

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

216072120 is a wasteful number, since it uses less digits than its factorization.

216072120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 691 counting only the distinct ones).

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

The square root of 216072120 is about 14699.3918241538. The cubic root of 216072120 is about 600.0667703470.

The spelling of 216072120 in words is "two hundred sixteen million, seventy-two thousand, one hundred twenty".