71632357601 has 12 divisors (see below), whose sum is σ = 84899655252. Its totient is φ = 60240686688.

The previous prime is 71632357579. The next prime is 71632357609. The reversal of 71632357601 is 10675323617.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 32477446225 + 39154911376 = 180215^2 + 197876^2 .

It is not a de Polignac number, because 71632357601 - 2²⁶ = 71565248737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71632357609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13788770 + ... + 13793963.

It is an arithmetic number, because the mean of its divisors is an integer number (7074971271).

Almost surely, 2^71632357601 is an apocalyptic number.

It is an amenable number.

71632357601 is a deficient number, since it is larger than the sum of its proper divisors (13267297651).

71632357601 is a wasteful number, since it uses less digits than its factorization.

71632357601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27582800 (or 27582793 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 41.

The spelling of 71632357601 in words is "seventy-one billion, six hundred thirty-two million, three hundred fifty-seven thousand, six hundred one".