71605072241 has 8 divisors (see below), whose sum is σ = 76209973704. Its totient is φ = 67043819520.

The previous prime is 71605072213. The next prime is 71605072249. The reversal of 71605072241 is 14227050617.

It can be written as a sum of positive squares in 4 ways, for example, as 14999145841 + 56605926400 = 122471^2 + 237920^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71605072241 - 2¹⁸ = 71604810097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71605072249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10908800 + ... + 10915361.

It is an arithmetic number, because the mean of its divisors is an integer number (9526246713).

Almost surely, 2^71605072241 is an apocalyptic number.

It is an amenable number.

71605072241 is a deficient number, since it is larger than the sum of its proper divisors (4604901463).

71605072241 is a wasteful number, since it uses less digits than its factorization.

71605072241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21824371.

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 71605072241 in words is "seventy-one billion, six hundred five million, seventy-two thousand, two hundred forty-one".