216072360 has 240 divisors, whose sum is σ = 845434260. Its totient is φ = 49351680.

The previous prime is 216072319. The next prime is 216072401. The reversal of 216072360 is 63270612.

It is a happy number.

216072360 is a `hidden beast` number, since 21 + 607 + 2 + 36 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (216072319) and next prime (216072401).

It can be written as a sum of positive squares in 2 ways, for example, as 202720644 + 13351716 = 14238^2 + 3654^2 .

It is a super-3 number, since 3×216072360³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 158080 + ... + 159440.

Almost surely, 2^216072360 is an apocalyptic number.

216072360 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 216072360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422717130).

216072360 is an abundant number, since it is smaller than the sum of its proper divisors (629361900).

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

216072360 is a wasteful number, since it uses less digits than its factorization.

216072360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 216072360 is about 14699.3999877546. The cubic root of 216072360 is about 600.0669925197.

The spelling of 216072360 in words is "two hundred sixteen million, seventy-two thousand, three hundred sixty".