72216000 has 336 divisors, whose sum is σ = 278160480. Its totient is φ = 17817600.

The previous prime is 72215999. The next prime is 72216013. The reversal of 72216000 is 61227.

It is a happy number.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223971 + ... + 1224029.

Almost surely, 2^72216000 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 72216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139080240).

72216000 is an abundant number, since it is smaller than the sum of its proper divisors (205944480).

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

72216000 is a wasteful number, since it uses less digits than its factorization.

72216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 86 counting only the distinct ones).

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

The square root of 72216000 is about 8497.9997646505. Note that the first 3 decimals coincide. The cubic root of 72216000 is about 416.4323660502.

Adding to 72216000 its reverse (61227), we get a palindrome (72277227).

The spelling of 72216000 in words is "seventy-two million, two hundred sixteen thousand".