72947851776 has 320 divisors, whose sum is σ = 220172515200. Its totient is φ = 23843635200.

The previous prime is 72947851741. The next prime is 72947851783. The reversal of 72947851776 is 67715874927.

72947851776 is a `hidden beast` number, since 7 + 2 + 9 + 47 + 8 + 517 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259600756 + ... + 259601036.

It is an arithmetic number, because the mean of its divisors is an integer number (688039110).

Almost surely, 2^72947851776 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 72947851776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110086257600).

72947851776 is an abundant number, since it is smaller than the sum of its proper divisors (147224663424).

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

72947851776 is a wasteful number, since it uses less digits than its factorization.

72947851776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 586 counting only the distinct ones).

The product of its digits is 41489280, while the sum is 63.

The spelling of 72947851776 in words is "seventy-two billion, nine hundred forty-seven million, eight hundred fifty-one thousand, seven hundred seventy-six".