72108133997760 has 672 divisors, whose sum is σ = 284106352832640. Its totient is φ = 16443956330496.

The previous prime is 72108133997737. The next prime is 72108133997843. The reversal of 72108133997760 is 6779933180127.

72108133997760 is a `hidden beast` number, since 7 + 2 + 108 + 13 + 399 + 77 + 60 = 666.

72108133997760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22331411826 + ... + 22331415054.

Almost surely, 2^{72108133997760} is an apocalyptic number.

72108133997760 is a gapful number since it is divisible by the number (70) 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 72108133997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142053176416320).

72108133997760 is an abundant number, since it is smaller than the sum of its proper divisors (211998218834880).

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

72108133997760 is a wasteful number, since it uses less digits than its factorization.

72108133997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465 (or 5452 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 72108133997760 in words is "seventy-two trillion, one hundred eight billion, one hundred thirty-three million, nine hundred ninety-seven thousand, seven hundred sixty".