72004314096 has 960 divisors, whose sum is σ = 271302635520. Its totient is φ = 18065203200.

The previous prime is 72004314059. The next prime is 72004314097. The reversal of 72004314096 is 69041340027.

72004314096 is a `hidden beast` number, since 7 + 200 + 43 + 1 + 409 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72004314096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72004314097) 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 191 ways as a sum of consecutive naturals, for example, 265698441 + ... + 265698711.

It is an arithmetic number, because the mean of its divisors is an integer number (282606912).

Almost surely, 2^72004314096 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 72004314096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135651317760).

72004314096 is an abundant number, since it is smaller than the sum of its proper divisors (199298321424).

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

72004314096 is a wasteful number, since it uses less digits than its factorization.

72004314096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 72004314096 in words is "seventy-two billion, four million, three hundred fourteen thousand, ninety-six".