72766313 has 4 divisors (see below), whose sum is σ = 73446480. Its totient is φ = 72086148.

The previous prime is 72766283. The next prime is 72766321. The reversal of 72766313 is 31366727.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 31366727 = 7 ⋅4480961.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72766313 is a prime.

It is a super-2 number, since 2×72766313² = 10589872615227938, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72766913) 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, 339923 + ... + 340136.

It is an arithmetic number, because the mean of its divisors is an integer number (18361620).

Almost surely, 2^72766313 is an apocalyptic number.

It is an amenable number.

72766313 is a deficient number, since it is larger than the sum of its proper divisors (680167).

72766313 is a wasteful number, since it uses less digits than its factorization.

72766313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680166.

The product of its digits is 31752, while the sum is 35.

The square root of 72766313 is about 8530.3172860099. The cubic root of 72766313 is about 417.4874807103.

The spelling of 72766313 in words is "seventy-two million, seven hundred sixty-six thousand, three hundred thirteen".