72117200417 has 4 divisors (see below), whose sum is σ = 72125900676. Its totient is φ = 72108500160.

The previous prime is 72117200411. The next prime is 72117200431. The reversal of 72117200417 is 71400271127.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 71400271127 = 147221 ⋅484987.

It can be written as a sum of positive squares in 2 ways, for example, as 68526674176 + 3590526241 = 261776^2 + 59921^2 .

It is a cyclic number.

It is not a de Polignac number, because 72117200417 - 2⁴ = 72117200401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72117200411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4337684 + ... + 4354277.

It is an arithmetic number, because the mean of its divisors is an integer number (18031475169).

Almost surely, 2^72117200417 is an apocalyptic number.

It is an amenable number.

72117200417 is a deficient number, since it is larger than the sum of its proper divisors (8700259).

72117200417 is an equidigital number, since it uses as much as digits as its factorization.

72117200417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8700258.

The product of its (nonzero) digits is 5488, while the sum is 32.

The spelling of 72117200417 in words is "seventy-two billion, one hundred seventeen million, two hundred thousand, four hundred seventeen".