72527989248 has 640 divisors, whose sum is σ = 265632998400. Its totient is φ = 19209830400.

The previous prime is 72527989199. The next prime is 72527989271. The reversal of 72527989248 is 84298972527.

72527989248 is a `hidden beast` number, since 7 + 2 + 527 + 9 + 89 + 24 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37558843 + ... + 37560773.

It is an arithmetic number, because the mean of its divisors is an integer number (415051560).

Almost surely, 2^72527989248 is an apocalyptic number.

72527989248 is a gapful number since it is divisible by the number (78) 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 72527989248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132816499200).

72527989248 is an abundant number, since it is smaller than the sum of its proper divisors (193105009152).

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

72527989248 is a wasteful number, since it uses less digits than its factorization.

72527989248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1979 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 72527989248 in words is "seventy-two billion, five hundred twenty-seven million, nine hundred eighty-nine thousand, two hundred forty-eight".