72162026127 has 12 divisors (see below), whose sum is σ = 104407479904. Its totient is φ = 48027967200.

The previous prime is 72162026119. The next prime is 72162026129.

It is a happy number.

72162026127 is a `hidden beast` number, since 7 + 2 + 1 + 620 + 2 + 6 + 1 + 27 = 666.

72162026127 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72162026127 - 2³ = 72162026119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72162026091 and 72162026100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72162026129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6665143 + ... + 6675960.

Almost surely, 2^72162026127 is an apocalyptic number.

72162026127 is a deficient number, since it is larger than the sum of its proper divisors (32245453777).

72162026127 is a wasteful number, since it uses less digits than its factorization.

72162026127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13341710 (or 13341707 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

It can be divided in two parts, 721620 and 26127, that added together give a palindrome (747747).

The spelling of 72162026127 in words is "seventy-two billion, one hundred sixty-two million, twenty-six thousand, one hundred twenty-seven".