71682745465728 has 96 divisors (see below), whose sum is σ = 209656117515000. Its totient is φ = 23502539473920.

The previous prime is 71682745465703. The next prime is 71682745465733. The reversal of 71682745465728 is 82756454728617.

71682745465728 is a `hidden beast` number, since 7 + 1 + 6 + 8 + 2 + 7 + 4 + 5 + 46 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 509967478 + ... + 510108021.

Almost surely, 2^{71682745465728} is an apocalyptic number.

It is an amenable number.

71682745465728 is an abundant number, since it is smaller than the sum of its proper divisors (137973372049272).

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

71682745465728 is a wasteful number, since it uses less digits than its factorization.

71682745465728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020075580 (or 1020075565 counting only the distinct ones).

The product of its digits is 1264435200, while the sum is 72.

The spelling of 71682745465728 in words is "seventy-one trillion, six hundred eighty-two billion, seven hundred forty-five million, four hundred sixty-five thousand, seven hundred twenty-eight".