72185560722 has 270 divisors, whose sum is σ = 189516462597. Its totient is φ = 20517948000.

The previous prime is 72185560709. The next prime is 72185560723. The reversal of 72185560722 is 22706558127.

72185560722 is a `hidden beast` number, since 7 + 2 + 1 + 85 + 560 + 7 + 2 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50103897921 + 22081662801 = 223839^2 + 148599^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=189981.

It is a super-2 number, since 2×72185560722² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72185560723) 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 134 ways as a sum of consecutive naturals, for example, 714708472 + ... + 714708572.

Almost surely, 2^72185560722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72185560722

72185560722 is an abundant number, since it is smaller than the sum of its proper divisors (117330901875).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72185560722 is a wasteful number, since it uses less digits than its factorization.

72185560722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 72185560722 in words is "seventy-two billion, one hundred eighty-five million, five hundred sixty thousand, seven hundred twenty-two".