96072744096 has 288 divisors, whose sum is σ = 331018990848. Its totient is φ = 25802219520.

The previous prime is 96072744049. The next prime is 96072744193. The reversal of 96072744096 is 69044727069.

It is a happy number.

96072744096 is a `hidden beast` number, since 9 + 607 + 27 + 4 + 4 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41570781 + ... + 41573091.

It is an arithmetic number, because the mean of its divisors is an integer number (1149371496).

Almost surely, 2^96072744096 is an apocalyptic number.

96072744096 is a gapful number since it is divisible by the number (96) 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 96072744096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165509495424).

96072744096 is an abundant number, since it is smaller than the sum of its proper divisors (234946246752).

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

96072744096 is a wasteful number, since it uses less digits than its factorization.

96072744096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 96072744096 in words is "ninety-six billion, seventy-two million, seven hundred forty-four thousand, ninety-six".