71642521728 has 384 divisors, whose sum is σ = 226841472000. Its totient is φ = 21605253120.

The previous prime is 71642521693. The next prime is 71642521733. The reversal of 71642521728 is 82712524617.

71642521728 is a `hidden beast` number, since 7 + 1 + 6 + 425 + 217 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120813400 + ... + 120813992.

It is an arithmetic number, because the mean of its divisors is an integer number (590733000).

Almost surely, 2^71642521728 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 71642521728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113420736000).

71642521728 is an abundant number, since it is smaller than the sum of its proper divisors (155198950272).

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

71642521728 is a wasteful number, since it uses less digits than its factorization.

71642521728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 845 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 71642521728 in words is "seventy-one billion, six hundred forty-two million, five hundred twenty-one thousand, seven hundred twenty-eight".