72201216240 has 200 divisors, whose sum is σ = 250915793040. Its totient is φ = 19242123264.

The previous prime is 72201216233. The next prime is 72201216259. The reversal of 72201216240 is 4261210227.

72201216240 is a `hidden beast` number, since 7 + 2 + 20 + 12 + 1 + 624 + 0 = 666.

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 39 ways as a sum of consecutive naturals, for example, 21570247 + ... + 21573593.

Almost surely, 2^72201216240 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 72201216240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125457896520).

72201216240 is an abundant number, since it is smaller than the sum of its proper divisors (178714576800).

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

72201216240 is a wasteful number, since it uses less digits than its factorization.

72201216240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6701 (or 6686 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 72201216240 its reverse (4261210227), we get a palindrome (76462426467).

The spelling of 72201216240 in words is "seventy-two billion, two hundred one million, two hundred sixteen thousand, two hundred forty".