72107670127 has 8 divisors (see below), whose sum is σ = 76053720960. Its totient is φ = 68176710360.

The previous prime is 72107670079. The next prime is 72107670137.

72107670127 is nontrivially palindromic in base 10.

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 72107670127 - 2¹⁹ = 72107145839 is a prime.

It is a super-2 number, since 2×72107670127² (a number of 23 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72107670127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72107670137) 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, 3762949 + ... + 3782062.

It is an arithmetic number, because the mean of its divisors is an integer number (9506715120).

Almost surely, 2^72107670127 is an apocalyptic number.

72107670127 is a deficient number, since it is larger than the sum of its proper divisors (3946050833).

72107670127 is a wasteful number, since it uses less digits than its factorization.

72107670127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7545533.

The product of its (nonzero) digits is 57624, while the sum is 40.

The spelling of 72107670127 in words is "seventy-two billion, one hundred seven million, six hundred seventy thousand, one hundred twenty-seven".