72313 has 2 divisors, whose sum is σ = 72314. Its totient is φ = 72312.

The previous prime is 72307. The next prime is 72337. The reversal of 72313 is 31327.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71289 + 1024 = 267^2 + 32^2 .

It is an emirp because it is prime and its reverse (31327) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72313 is a prime.

72313 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (72353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36156 + 36157.

It is an arithmetic number, because the mean of its divisors is an integer number (36157).

2⁷²³¹³ is an apocalyptic number.

It is an amenable number.

72313 is a deficient number, since it is larger than the sum of its proper divisors (1).

72313 is an equidigital number, since it uses as much as digits as its factorization.

72313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 16.

The square root of 72313 is about 268.9107658685. The cubic root of 72313 is about 41.6618732263.

The spelling of 72313 in words is "seventy-two thousand, three hundred thirteen".