72540962577 has 6 divisors (see below), whose sum is σ = 104781390402. Its totient is φ = 48360641712.

The previous prime is 72540962563. The next prime is 72540962597. The reversal of 72540962577 is 77526904527.

It is a happy number.

72540962577 is a `hidden beast` number, since 7 + 2 + 5 + 4 + 0 + 9 + 62 + 577 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46984464081 + 25556498496 = 216759^2 + 159864^2 .

It is not a de Polignac number, because 72540962577 - 2¹⁰ = 72540961553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72540962537) 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 5 ways as a sum of consecutive naturals, for example, 4030053468 + ... + 4030053485.

It is an arithmetic number, because the mean of its divisors is an integer number (17463565067).

Almost surely, 2^72540962577 is an apocalyptic number.

It is an amenable number.

72540962577 is a deficient number, since it is larger than the sum of its proper divisors (32240427825).

72540962577 is a wasteful number, since it uses less digits than its factorization.

72540962577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8060106959 (or 8060106956 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 72540962577 in words is "seventy-two billion, five hundred forty million, nine hundred sixty-two thousand, five hundred seventy-seven".