72578735918181 has 32 divisors (see below), whose sum is σ = 109722148583040. Its totient is φ = 47403001440000.

The previous prime is 72578735918137. The next prime is 72578735918209. The reversal of 72578735918181 is 18181953787527.

72578735918181 is a `hidden beast` number, since 7 + 2 + 5 + 7 + 87 + 359 + 18 + 181 = 666.

It is not a de Polignac number, because 72578735918181 - 2¹⁷ = 72578735787109 is a prime.

It is a super-2 number, since 2×72578735918181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72578735911181) 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 31 ways as a sum of consecutive naturals, for example, 87369940 + ... + 88196733.

It is an arithmetic number, because the mean of its divisors is an integer number (3428817143220).

Almost surely, 2^{72578735918181} is an apocalyptic number.

It is an amenable number.

72578735918181 is a deficient number, since it is larger than the sum of its proper divisors (37143412664859).

72578735918181 is a wasteful number, since it uses less digits than its factorization.

72578735918181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175566994 (or 175566988 counting only the distinct ones).

The product of its digits is 237081600, while the sum is 72.

The spelling of 72578735918181 in words is "seventy-two trillion, five hundred seventy-eight billion, seven hundred thirty-five million, nine hundred eighteen thousand, one hundred eighty-one".