72119995560 has 192 divisors, whose sum is σ = 261240033600. Its totient is φ = 17148008448.

The previous prime is 72119995559. The next prime is 72119995567. The reversal of 72119995560 is 6559991127.

72119995560 is a `hidden beast` number, since 72 + 1 + 1 + 9 + 9 + 9 + 5 + 560 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72119995497 and 72119995506.

It is not an unprimeable number, because it can be changed into a prime (72119995567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193834 + ... + 426393.

It is an arithmetic number, because the mean of its divisors is an integer number (1360625175).

Almost surely, 2^72119995560 is an apocalyptic number.

It is an amenable number.

72119995560 is an abundant number, since it is smaller than the sum of its proper divisors (189120038040).

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

72119995560 is a wasteful number, since it uses less digits than its factorization.

72119995560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620280 (or 620273 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 54.

The spelling of 72119995560 in words is "seventy-two billion, one hundred nineteen million, nine hundred ninety-five thousand, five hundred sixty".