72642561543 has 24 divisors (see below), whose sum is σ = 109718968320. Its totient is φ = 46226022480.

The previous prime is 72642561527. The next prime is 72642561577. The reversal of 72642561543 is 34516524627.

72642561543 is a `hidden beast` number, since 7 + 2 + 6 + 4 + 25 + 615 + 4 + 3 = 666.

It is not a de Polignac number, because 72642561543 - 2⁴ = 72642561527 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72642561503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267163 + ... + 465468.

It is an arithmetic number, because the mean of its divisors is an integer number (4571623680).

Almost surely, 2^72642561543 is an apocalyptic number.

72642561543 is a deficient number, since it is larger than the sum of its proper divisors (37076406777).

72642561543 is a wasteful number, since it uses less digits than its factorization.

72642561543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733139 (or 733136 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 72642561543 in words is "seventy-two billion, six hundred forty-two million, five hundred sixty-one thousand, five hundred forty-three".