72468313 has 8 divisors (see below), whose sum is σ = 74130048. Its totient is φ = 70811664.

The previous prime is 72468307. The next prime is 72468317. The reversal of 72468313 is 31386427.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72468313 - 2⁵ = 72468281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72468317) 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 7 ways as a sum of consecutive naturals, for example, 52095 + ... + 53467.

It is an arithmetic number, because the mean of its divisors is an integer number (9266256).

Almost surely, 2^72468313 is an apocalyptic number.

It is an amenable number.

72468313 is a deficient number, since it is larger than the sum of its proper divisors (1661735).

72468313 is a wasteful number, since it uses less digits than its factorization.

72468313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543.

The product of its digits is 24192, while the sum is 34.

The square root of 72468313 is about 8512.8322548961. The cubic root of 72468313 is about 416.9167885614.

The spelling of 72468313 in words is "seventy-two million, four hundred sixty-eight thousand, three hundred thirteen".