72777473 has 2 divisors, whose sum is σ = 72777474. Its totient is φ = 72777472.

The previous prime is 72777449. The next prime is 72777499. The reversal of 72777473 is 37477727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64529089 + 8248384 = 8033^2 + 2872^2 .

It is a cyclic number.

It is not a de Polignac number, because 72777473 - 2¹⁶ = 72711937 is a prime.

It is not a weakly prime, because it can be changed into another prime (72777403) 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, 36388736 + 36388737.

It is an arithmetic number, because the mean of its divisors is an integer number (36388737).

Almost surely, 2^72777473 is an apocalyptic number.

It is an amenable number.

72777473 is a deficient number, since it is larger than the sum of its proper divisors (1).

72777473 is an equidigital number, since it uses as much as digits as its factorization.

72777473 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 403368, while the sum is 44.

The square root of 72777473 is about 8530.9713983813. The cubic root of 72777473 is about 417.5088226469.

The spelling of 72777473 in words is "seventy-two million, seven hundred seventy-seven thousand, four hundred seventy-three".