72123432127 has 8 divisors (see below), whose sum is σ = 77660326800. Its totient is φ = 66730353024.

The previous prime is 72123432107. The next prime is 72123432151.

72123432127 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 72123432127 - 2¹¹ = 72123430079 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72123432092 and 72123432101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72123432107) 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, 35952852 + ... + 35954857.

It is an arithmetic number, because the mean of its divisors is an integer number (9707540850).

Almost surely, 2^72123432127 is an apocalyptic number.

72123432127 is a deficient number, since it is larger than the sum of its proper divisors (5536894673).

72123432127 is a wasteful number, since it uses less digits than its factorization.

72123432127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71907785.

The product of its digits is 28224, while the sum is 34.

The spelling of 72123432127 in words is "seventy-two billion, one hundred twenty-three million, four hundred thirty-two thousand, one hundred twenty-seven".