72295313 has 2 divisors, whose sum is σ = 72295314. Its totient is φ = 72295312.

The previous prime is 72295303. The next prime is 72295319. The reversal of 72295313 is 31359227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71707024 + 588289 = 8468^2 + 767^2 .

It is a cyclic number.

It is not a de Polignac number, because 72295313 - 2⁴ = 72295297 is a prime.

It is a super-2 number, since 2×72295313² = 10453224563535938, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72295313.

It is not a weakly prime, because it can be changed into another prime (72295319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36147656 + 36147657.

It is an arithmetic number, because the mean of its divisors is an integer number (36147657).

Almost surely, 2^72295313 is an apocalyptic number.

It is an amenable number.

72295313 is a deficient number, since it is larger than the sum of its proper divisors (1).

72295313 is an equidigital number, since it uses as much as digits as its factorization.

72295313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11340, while the sum is 32.

The square root of 72295313 is about 8502.6650527937. The cubic root of 72295313 is about 416.5847626390.

The spelling of 72295313 in words is "seventy-two million, two hundred ninety-five thousand, three hundred thirteen".