71730966528 has 260 divisors, whose sum is σ = 230778214128. Its totient is φ = 22069739520.

The previous prime is 71730966511. The next prime is 71730966563. The reversal of 71730966528 is 82566903717.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4304773 + ... + 4321403.

Almost surely, 2^71730966528 is an apocalyptic number.

71730966528 is a gapful number since it is divisible by the number (78) 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 71730966528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115389107064).

71730966528 is an abundant number, since it is smaller than the sum of its proper divisors (159047247600).

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

71730966528 is a wasteful number, since it uses less digits than its factorization.

71730966528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16680 (or 16649 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 71730966528 in words is "seventy-one billion, seven hundred thirty million, nine hundred sixty-six thousand, five hundred twenty-eight".