72786524409 has 12 divisors (see below), whose sum is σ = 105138450352. Its totient is φ = 48523260600.

The previous prime is 72786524389. The next prime is 72786524417. The reversal of 72786524409 is 90442568727.

72786524409 is a `hidden beast` number, since 7 + 2 + 78 + 6 + 524 + 40 + 9 = 666.

It is not a de Polignac number, because 72786524409 - 2¹⁵ = 72786491641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72786524429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 655674 + ... + 758604.

Almost surely, 2^72786524409 is an apocalyptic number.

It is an amenable number.

72786524409 is a deficient number, since it is larger than the sum of its proper divisors (32351925943).

72786524409 is a wasteful number, since it uses less digits than its factorization.

72786524409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181508 (or 181505 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 72786524409 in words is "seventy-two billion, seven hundred eighty-six million, five hundred twenty-four thousand, four hundred nine".