72016313 has 2 divisors, whose sum is σ = 72016314. Its totient is φ = 72016312.

The previous prime is 72016291. The next prime is 72016331. The reversal of 72016313 is 31361027.

It is a happy number.

Together with next prime (72016331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61277584 + 10738729 = 7828^2 + 3277^2 .

It is an emirp because it is prime and its reverse (31361027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72016313 - 2⁶ = 72016249 is a prime.

It is a super-2 number, since 2×72016313² = 10372698676227938, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (72016363) 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 as a sum of consecutive naturals, namely, 36008156 + 36008157.

It is an arithmetic number, because the mean of its divisors is an integer number (36008157).

Almost surely, 2^72016313 is an apocalyptic number.

It is an amenable number.

72016313 is a deficient number, since it is larger than the sum of its proper divisors (1).

72016313 is an equidigital number, since it uses as much as digits as its factorization.

72016313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 72016313 is about 8486.2425725406. The cubic root of 72016313 is about 416.0481811336.

The spelling of 72016313 in words is "seventy-two million, sixteen thousand, three hundred thirteen".