72846861696 has 192 divisors, whose sum is σ = 242264973600. Its totient is φ = 20579328000.

The previous prime is 72846861683. The next prime is 72846861713. The reversal of 72846861696 is 69616864827.

72846861696 is a `hidden beast` number, since 7 + 2 + 8 + 4 + 6 + 8 + 616 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666946 + ... + 768446.

Almost surely, 2^72846861696 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 72846861696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121132486800).

72846861696 is an abundant number, since it is smaller than the sum of its proper divisors (169418111904).

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

72846861696 is a wasteful number, since it uses less digits than its factorization.

72846861696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101617 (or 101602 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 72846861696 in words is "seventy-two billion, eight hundred forty-six million, eight hundred sixty-one thousand, six hundred ninety-six".