72242741317 has 12 divisors (see below), whose sum is σ = 76368918636. Its totient is φ = 68329356480.

The previous prime is 72242741309. The next prime is 72242741353. The reversal of 72242741317 is 71314724227.

It can be written as a sum of positive squares in 2 ways, for example, as 13962021921 + 58280719396 = 118161^2 + 241414^2 .

It is not a de Polignac number, because 72242741317 - 2³ = 72242741309 is a prime.

It is a super-3 number, since 3×72242741317³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72242741317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72242741387) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60567 + ... + 384907.

It is an arithmetic number, because the mean of its divisors is an integer number (6364076553).

Almost surely, 2^72242741317 is an apocalyptic number.

It is an amenable number.

72242741317 is a deficient number, since it is larger than the sum of its proper divisors (4126177319).

72242741317 is a wasteful number, since it uses less digits than its factorization.

72242741317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324996 (or 324977 counting only the distinct ones).

The product of its digits is 131712, while the sum is 40.

The spelling of 72242741317 in words is "seventy-two billion, two hundred forty-two million, seven hundred forty-one thousand, three hundred seventeen".