72717313 has 24 divisors (see below), whose sum is σ = 83530440. Its totient is φ = 63256320.

The previous prime is 72717287. The next prime is 72717317. The reversal of 72717313 is 31371727.

It can be written as a sum of positive squares in 4 ways, for example, as 1871424 + 70845889 = 1368^2 + 8417^2 .

It is not a de Polignac number, because 72717313 - 2⁹ = 72716801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72717317) 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, 1773573 + ... + 1773613.

It is an arithmetic number, because the mean of its divisors is an integer number (3480435).

Almost surely, 2^72717313 is an apocalyptic number.

It is an amenable number.

72717313 is a deficient number, since it is larger than the sum of its proper divisors (10813127).

72717313 is an equidigital number, since it uses as much as digits as its factorization.

72717313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 77 counting only the distinct ones).

The product of its digits is 6174, while the sum is 31.

The square root of 72717313 is about 8527.4446934589. Note that the first 3 decimals coincide. The cubic root of 72717313 is about 417.3937492420.

The spelling of 72717313 in words is "seventy-two million, seven hundred seventeen thousand, three hundred thirteen".