72171666617127 has 48 divisors (see below), whose sum is σ = 120888227260416. Its totient is φ = 37490020603200.

The previous prime is 72171666617111. The next prime is 72171666617131.

72171666617127 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72171666617127 - 2⁴ = 72171666617111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72171666667127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54554677 + ... + 55861937.

It is an arithmetic number, because the mean of its divisors is an integer number (2518504734592).

Almost surely, 2^{72171666617127} is an apocalyptic number.

72171666617127 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72171666617127 is a deficient number, since it is larger than the sum of its proper divisors (48716560643289).

72171666617127 is a wasteful number, since it uses less digits than its factorization.

72171666617127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329020 (or 1329009 counting only the distinct ones).

The product of its digits is 12446784, while the sum is 60.

The spelling of 72171666617127 in words is "seventy-two trillion, one hundred seventy-one billion, six hundred sixty-six million, six hundred seventeen thousand, one hundred twenty-seven".