216072000 has 168 divisors, whose sum is σ = 773183112. Its totient is φ = 57600000.

The previous prime is 216071951. The next prime is 216072037. The reversal of 216072000 is 270612.

It is a happy number.

216072000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8020224 + 208051776 = 2832^2 + 14424^2 .

It is a super-3 number, since 3×216072000³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70500 + ... + 73500.

Almost surely, 2^216072000 is an apocalyptic number.

216072000 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 216072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386591556).

216072000 is an abundant number, since it is smaller than the sum of its proper divisors (557111112).

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

216072000 is a wasteful number, since it uses less digits than its factorization.

216072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 216072000 is about 14699.3877423517. The cubic root of 216072000 is about 600.0666592606.

The spelling of 216072000 in words is "two hundred sixteen million, seventy-two thousand".