72650115648 has 280 divisors, whose sum is σ = 235491284160. Its totient is φ = 21963156480.

The previous prime is 72650115631. The next prime is 72650115667. The reversal of 72650115648 is 84651105627.

72650115648 is a `hidden beast` number, since 7 + 26 + 50 + 11 + 564 + 8 = 666.

It is a super-3 number, since 3×72650115648³ (a number of 34 digits) contains 333 as substring.

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 39 ways as a sum of consecutive naturals, for example, 29023965 + ... + 29026467.

Almost surely, 2^72650115648 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 72650115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117745642080).

72650115648 is an abundant number, since it is smaller than the sum of its proper divisors (162841168512).

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

72650115648 is a wasteful number, since it uses less digits than its factorization.

72650115648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 72650115648 in words is "seventy-two billion, six hundred fifty million, one hundred fifteen thousand, six hundred forty-eight".