72440867817 has 24 divisors (see below), whose sum is σ = 105098314464. Its totient is φ = 48081106944.

The previous prime is 72440867803. The next prime is 72440867833. The reversal of 72440867817 is 71876804427.

It is not a de Polignac number, because 72440867817 - 2²⁷ = 72306650089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72440867417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5181078 + ... + 5195040.

It is an arithmetic number, because the mean of its divisors is an integer number (4379096436).

Almost surely, 2^72440867817 is an apocalyptic number.

It is an amenable number.

72440867817 is a deficient number, since it is larger than the sum of its proper divisors (32657446647).

72440867817 is a wasteful number, since it uses less digits than its factorization.

72440867817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16469 (or 16466 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 72440867817 in words is "seventy-two billion, four hundred forty million, eight hundred sixty-seven thousand, eight hundred seventeen".