72782929 has 2 divisors, whose sum is σ = 72782930. Its totient is φ = 72782928.

The previous prime is 72782893. The next prime is 72782987. The reversal of 72782929 is 92928727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55577025 + 17205904 = 7455^2 + 4148^2 .

It is a cyclic number.

It is not a de Polignac number, because 72782929 - 2²¹ = 70685777 is a prime.

It is not a weakly prime, because it can be changed into another prime (72782629) 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, 36391464 + 36391465.

It is an arithmetic number, because the mean of its divisors is an integer number (36391465).

Almost surely, 2^72782929 is an apocalyptic number.

It is an amenable number.

72782929 is a deficient number, since it is larger than the sum of its proper divisors (1).

72782929 is an equidigital number, since it uses as much as digits as its factorization.

72782929 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 254016, while the sum is 46.

The square root of 72782929 is about 8531.2911683988. The cubic root of 72782929 is about 417.5192556886.

The spelling of 72782929 in words is "seventy-two million, seven hundred eighty-two thousand, nine hundred twenty-nine".