71880758001 has 36 divisors (see below), whose sum is σ = 114550305948. Its totient is φ = 43399654272.

The previous prime is 71880757987. The next prime is 71880758023. The reversal of 71880758001 is 10085708817.

It can be written as a sum of positive squares in 6 ways, for example, as 70157376 + 71810600625 = 8376^2 + 267975^2 .

It is not a de Polignac number, because 71880758001 - 2⁵ = 71880757969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71880756001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 365226 + ... + 526451.

It is an arithmetic number, because the mean of its divisors is an integer number (3181952943).

Almost surely, 2^71880758001 is an apocalyptic number.

It is an amenable number.

71880758001 is a deficient number, since it is larger than the sum of its proper divisors (42669547947).

71880758001 is a wasteful number, since it uses less digits than its factorization.

71880758001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891762 (or 891746 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 45.

The spelling of 71880758001 in words is "seventy-one billion, eight hundred eighty million, seven hundred fifty-eight thousand, one".