72442444424427 has 64 divisors (see below), whose sum is σ = 133808472268800. Its totient is φ = 37631244500640.

The previous prime is 72442444424417. The next prime is 72442444424443.

72442444424427 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72442444424427 - 2¹⁹ = 72442443900139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72442444424407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66962274 + ... + 68035512.

It is an arithmetic number, because the mean of its divisors is an integer number (2090757379200).

Almost surely, 2^{72442444424427} is an apocalyptic number.

72442444424427 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72442444424427 is a deficient number, since it is larger than the sum of its proper divisors (61366027844373).

72442444424427 is a wasteful number, since it uses less digits than its factorization.

72442444424427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105733 (or 1105727 counting only the distinct ones).

The product of its digits is 51380224, while the sum is 54.

The spelling of 72442444424427 in words is "seventy-two trillion, four hundred forty-two billion, four hundred forty-four million, four hundred twenty-four thousand, four hundred twenty-seven".