71889072488571 has 128 divisors (see below), whose sum is σ = 108356534272000. Its totient is φ = 42093528422400.

The previous prime is 71889072488501. The next prime is 71889072488573. The reversal of 71889072488571 is 17588427098817.

It is not a de Polignac number, because 71889072488571 - 2¹⁷ = 71889072357499 is a prime.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71889072488493 and 71889072488502.

It is not an unprimeable number, because it can be changed into a prime (71889072488573) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33266575731 + ... + 33266577891.

It is an arithmetic number, because the mean of its divisors is an integer number (846535424000).

Almost surely, 2^{71889072488571} is an apocalyptic number.

71889072488571 is a deficient number, since it is larger than the sum of its proper divisors (36467461783429).

71889072488571 is a wasteful number, since it uses less digits than its factorization.

71889072488571 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585.

The product of its (nonzero) digits is 505774080, while the sum is 75.

The spelling of 71889072488571 in words is "seventy-one trillion, eight hundred eighty-nine billion, seventy-two million, four hundred eighty-eight thousand, five hundred seventy-one".