72909409577 has 2 divisors, whose sum is σ = 72909409578. Its totient is φ = 72909409576.

The previous prime is 72909409537. The next prime is 72909409621. The reversal of 72909409577 is 77590490927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43373893696 + 29535515881 = 208264^2 + 171859^2 .

It is a cyclic number.

It is not a de Polignac number, because 72909409577 - 2¹⁸ = 72909147433 is a prime.

It is not a weakly prime, because it can be changed into another prime (72909409537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36454704788 + 36454704789.

It is an arithmetic number, because the mean of its divisors is an integer number (36454704789).

Almost surely, 2^72909409577 is an apocalyptic number.

It is an amenable number.

72909409577 is a deficient number, since it is larger than the sum of its proper divisors (1).

72909409577 is an equidigital number, since it uses as much as digits as its factorization.

72909409577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10001880, while the sum is 59.

The spelling of 72909409577 in words is "seventy-two billion, nine hundred nine million, four hundred nine thousand, five hundred seventy-seven".