71672571707401 has 64 divisors (see below), whose sum is σ = 91820160000000. Its totient is φ = 55662224054976.

The previous prime is 71672571707389. The next prime is 71672571707423. The reversal of 71672571707401 is 10470717527617.

It is a happy number.

It is not a de Polignac number, because 71672571707401 - 2²⁷ = 71672437489673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71672571707431) 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 63 ways as a sum of consecutive naturals, for example, 1257407100 + ... + 1257464098.

It is an arithmetic number, because the mean of its divisors is an integer number (1434690000000).

Almost surely, 2^{71672571707401} is an apocalyptic number.

It is an amenable number.

71672571707401 is a deficient number, since it is larger than the sum of its proper divisors (20147588292599).

71672571707401 is a wasteful number, since it uses less digits than its factorization.

71672571707401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65451 (or 65437 counting only the distinct ones).

The product of its (nonzero) digits is 4033680, while the sum is 55.

The spelling of 71672571707401 in words is "seventy-one trillion, six hundred seventy-two billion, five hundred seventy-one million, seven hundred seven thousand, four hundred one".