72340712577 has 30 divisors (see below), whose sum is σ = 125707715298. Its totient is φ = 41337547776.

The previous prime is 72340712573. The next prime is 72340712593. The reversal of 72340712577 is 77521704327.

72340712577 is a `hidden beast` number, since 7 + 2 + 3 + 4 + 0 + 71 + 2 + 577 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72298605456 + 42107121 = 268884^2 + 6489^2 .

It is not a de Polignac number, because 72340712577 - 2² = 72340712573 is a prime.

It is a super-2 number, since 2×72340712577² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72340712573) 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 29 ways as a sum of consecutive naturals, for example, 9109248 + ... + 9117185.

Almost surely, 2^72340712577 is an apocalyptic number.

It is an amenable number.

72340712577 is a deficient number, since it is larger than the sum of its proper divisors (53367002721).

72340712577 is a wasteful number, since it uses less digits than its factorization.

72340712577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18226459 (or 18226443 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The spelling of 72340712577 in words is "seventy-two billion, three hundred forty million, seven hundred twelve thousand, five hundred seventy-seven".