72513313417 has 4 divisors (see below), whose sum is σ = 72999980100. Its totient is φ = 72026646736.

The previous prime is 72513313409. The next prime is 72513313429. The reversal of 72513313417 is 71431331527.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 20956615696 + 51556697721 = 144764^2 + 227061^2 .

It is a cyclic number.

It is not a de Polignac number, because 72513313417 - 2³ = 72513313409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72513310417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 243333118 + ... + 243333415.

It is an arithmetic number, because the mean of its divisors is an integer number (18249995025).

Almost surely, 2^72513313417 is an apocalyptic number.

It is an amenable number.

72513313417 is a deficient number, since it is larger than the sum of its proper divisors (486666683).

72513313417 is a wasteful number, since it uses less digits than its factorization.

72513313417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486666682.

The product of its digits is 52920, while the sum is 37.

The spelling of 72513313417 in words is "seventy-two billion, five hundred thirteen million, three hundred thirteen thousand, four hundred seventeen".