72165256127 has 4 divisors (see below), whose sum is σ = 72165910656. Its totient is φ = 72164601600.

The previous prime is 72165256117. The next prime is 72165256129.

72165256127 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 72165256127 - 2¹⁴ = 72165239743 is a prime.

It is a super-2 number, since 2×72165256127² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (72165256129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116738 + ... + 397439.

It is an arithmetic number, because the mean of its divisors is an integer number (18041477664).

Almost surely, 2^72165256127 is an apocalyptic number.

72165256127 is a deficient number, since it is larger than the sum of its proper divisors (654529).

72165256127 is a wasteful number, since it uses less digits than its factorization.

72165256127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654528.

The product of its digits is 352800, while the sum is 44.

The spelling of 72165256127 in words is "seventy-two billion, one hundred sixty-five million, two hundred fifty-six thousand, one hundred twenty-seven".