71086572072045 has 48 divisors (see below), whose sum is σ = 123758144490240. Its totient is φ = 37746256791168.

The previous prime is 71086572072023. The next prime is 71086572072059. The reversal of 71086572072045 is 54027027568017.

71086572072045 is a `hidden beast` number, since 7 + 1 + 0 + 8 + 6 + 572 + 0 + 7 + 20 + 45 = 666.

It is not a de Polignac number, because 71086572072045 - 2⁶ = 71086572071981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 71086572071982 and 71086572072000.

It is a congruent number.

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, 520777374 + ... + 520913856.

It is an arithmetic number, because the mean of its divisors is an integer number (2578294676880).

Almost surely, 2^{71086572072045} is an apocalyptic number.

It is an amenable number.

71086572072045 is a deficient number, since it is larger than the sum of its proper divisors (52671572418195).

71086572072045 is a wasteful number, since it uses less digits than its factorization.

71086572072045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187266 (or 187263 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 71086572072045 in words is "seventy-one trillion, eighty-six billion, five hundred seventy-two million, seventy-two thousand, forty-five".