72247518720 has 720 divisors, whose sum is σ = 279542639376. Its totient is φ = 17141760000.

The previous prime is 72247518683. The next prime is 72247518767. The reversal of 72247518720 is 2781574227.

72247518720 is a `hidden beast` number, since 7 + 22 + 47 + 518 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×72247518720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 287838595 + ... + 287838845.

Almost surely, 2^72247518720 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 72247518720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139771319688).

72247518720 is an abundant number, since it is smaller than the sum of its proper divisors (207295120656).

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

72247518720 is a wasteful number, since it uses less digits than its factorization.

72247518720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 72247518720 in words is "seventy-two billion, two hundred forty-seven million, five hundred eighteen thousand, seven hundred twenty".