72776513 has 2 divisors, whose sum is σ = 72776514. Its totient is φ = 72776512.

The previous prime is 72776497. The next prime is 72776527. The reversal of 72776513 is 31567727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72726784 + 49729 = 8528^2 + 223^2 .

It is a cyclic number.

It is not a de Polignac number, because 72776513 - 2⁴ = 72776497 is a prime.

It is not a weakly prime, because it can be changed into another prime (72776533) 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, 36388256 + 36388257.

It is an arithmetic number, because the mean of its divisors is an integer number (36388257).

Almost surely, 2^72776513 is an apocalyptic number.

It is an amenable number.

72776513 is a deficient number, since it is larger than the sum of its proper divisors (1).

72776513 is an equidigital number, since it uses as much as digits as its factorization.

72776513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 61740, while the sum is 38.

The square root of 72776513 is about 8530.9151326221. The cubic root of 72776513 is about 417.5069868672.

The spelling of 72776513 in words is "seventy-two million, seven hundred seventy-six thousand, five hundred thirteen".