71772579860256 has 768 divisors, whose sum is σ = 247909577287680. Its totient is φ = 19954614435840.

The previous prime is 71772579860207. The next prime is 71772579860263. The reversal of 71772579860256 is 65206897527717.

71772579860256 is a `hidden beast` number, since 7 + 1 + 7 + 7 + 2 + 5 + 7 + 9 + 8 + 602 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3633492876 + ... + 3633512628.

It is an arithmetic number, because the mean of its divisors is an integer number (322798928760).

Almost surely, 2^{71772579860256} 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 71772579860256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123954788643840).

71772579860256 is an abundant number, since it is smaller than the sum of its proper divisors (176136997427424).

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

71772579860256 is a wasteful number, since it uses less digits than its factorization.

71772579860256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20366 (or 20352 counting only the distinct ones).

The product of its (nonzero) digits is 622339200, while the sum is 72.

The spelling of 71772579860256 in words is "seventy-one trillion, seven hundred seventy-two billion, five hundred seventy-nine million, eight hundred sixty thousand, two hundred fifty-six".