71728114464 has 384 divisors, whose sum is σ = 221405184000. Its totient is φ = 22562841600.

The previous prime is 71728114463. The next prime is 71728114477. The reversal of 71728114464 is 46441182717.

71728114464 is a `hidden beast` number, since 7 + 1 + 72 + 8 + 114 + 464 = 666.

It is not an unprimeable number, because it can be changed into a prime (71728114463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230636869 + ... + 230637179.

It is an arithmetic number, because the mean of its divisors is an integer number (576576000).

Almost surely, 2^71728114464 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 71728114464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110702592000).

71728114464 is an abundant number, since it is smaller than the sum of its proper divisors (149677069536).

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

71728114464 is a wasteful number, since it uses less digits than its factorization.

71728114464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 535 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The spelling of 71728114464 in words is "seventy-one billion, seven hundred twenty-eight million, one hundred fourteen thousand, four hundred sixty-four".