71261201345292 has 72 divisors (see below), whose sum is σ = 205928059824032. Its totient is φ = 20354175072000.

The previous prime is 71261201345251. The next prime is 71261201345297. The reversal of 71261201345292 is 29254310216217.

71261201345292 is a `hidden beast` number, since 7 + 1 + 2 + 6 + 12 + 0 + 1 + 345 + 292 = 666.

It is a super-2 number, since 2×71261201345292² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71261201345297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42001009 + ... + 43664712.

Almost surely, 2^{71261201345292} is an apocalyptic number.

It is an amenable number.

71261201345292 is an abundant number, since it is smaller than the sum of its proper divisors (134666858478740).

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

71261201345292 is a wasteful number, since it uses less digits than its factorization.

71261201345292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85669039 (or 85669034 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 71261201345292 in words is "seventy-one trillion, two hundred sixty-one billion, two hundred one million, three hundred forty-five thousand, two hundred ninety-two".