72682777 has 2 divisors, whose sum is σ = 72682778. Its totient is φ = 72682776.

The previous prime is 72682759. The next prime is 72682789. The reversal of 72682777 is 77728627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71419401 + 1263376 = 8451^2 + 1124^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72682777 is a prime.

It is not a weakly prime, because it can be changed into another prime (72682177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36341388 + 36341389.

It is an arithmetic number, because the mean of its divisors is an integer number (36341389).

Almost surely, 2^72682777 is an apocalyptic number.

It is an amenable number.

72682777 is a deficient number, since it is larger than the sum of its proper divisors (1).

72682777 is an equidigital number, since it uses as much as digits as its factorization.

72682777 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 460992, while the sum is 46.

The square root of 72682777 is about 8525.4194618212. The cubic root of 72682777 is about 417.3276604725.

The spelling of 72682777 in words is "seventy-two million, six hundred eighty-two thousand, seven hundred seventy-seven".