72905689 has 2 divisors, whose sum is σ = 72905690. Its totient is φ = 72905688.

The previous prime is 72905671. The next prime is 72905713. The reversal of 72905689 is 98650927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66145689 + 6760000 = 8133^2 + 2600^2 .

It is a cyclic number.

It is not a de Polignac number, because 72905689 - 2⁹ = 72905177 is a prime.

It is not a weakly prime, because it can be changed into another prime (72903689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36452844 + 36452845.

It is an arithmetic number, because the mean of its divisors is an integer number (36452845).

Almost surely, 2^72905689 is an apocalyptic number.

It is an amenable number.

72905689 is a deficient number, since it is larger than the sum of its proper divisors (1).

72905689 is an equidigital number, since it uses as much as digits as its factorization.

72905689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 72905689 is about 8538.4828277628. The cubic root of 72905689 is about 417.7538614087.

The spelling of 72905689 in words is "seventy-two million, nine hundred five thousand, six hundred eighty-nine".