72936130104 has 256 divisors, whose sum is σ = 209719910400. Its totient is φ = 23477299200.

The previous prime is 72936130103. The next prime is 72936130117. The reversal of 72936130104 is 40103163927.

72936130104 is a `hidden beast` number, since 7 + 29 + 3 + 613 + 0 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72936130103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302639424 + ... + 302639664.

It is an arithmetic number, because the mean of its divisors is an integer number (819218400).

Almost surely, 2^72936130104 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 72936130104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104859955200).

72936130104 is an abundant number, since it is smaller than the sum of its proper divisors (136783780296).

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

72936130104 is a wasteful number, since it uses less digits than its factorization.

72936130104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 72936130104 in words is "seventy-two billion, nine hundred thirty-six million, one hundred thirty thousand, one hundred four".