72416171550657 has 24 divisors (see below), whose sum is σ = 107584431210592. Its totient is φ = 43287375257280.

The previous prime is 72416171550637. The next prime is 72416171550661. The reversal of 72416171550657 is 75605517161427.

It is not a de Polignac number, because 72416171550657 - 2²² = 72416167356353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72416171550597 and 72416171550606.

It is not an unprimeable number, because it can be changed into a prime (72416171550607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1366367923 + ... + 1366420920.

Almost surely, 2^{72416171550657} is an apocalyptic number.

It is an amenable number.

72416171550657 is a deficient number, since it is larger than the sum of its proper divisors (35168259659935).

72416171550657 is a wasteful number, since it uses less digits than its factorization.

72416171550657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732788941 (or 2732788930 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 57.

The spelling of 72416171550657 in words is "seventy-two trillion, four hundred sixteen billion, one hundred seventy-one million, five hundred fifty thousand, six hundred fifty-seven".