72055505736 has 48 divisors (see below), whose sum is σ = 197343045900. Its totient is φ = 23748628992.

The previous prime is 72055505713. The next prime is 72055505803. The reversal of 72055505736 is 63750555027.

72055505736 is a `hidden beast` number, since 7 + 20 + 5 + 5 + 50 + 573 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63791604900 + 8263900836 = 252570^2 + 90906^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72055505691 and 72055505700.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5615901 + ... + 5628716.

Almost surely, 2^72055505736 is an apocalyptic number.

It is an amenable number.

72055505736 is an abundant number, since it is smaller than the sum of its proper divisors (125287540164).

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

72055505736 is a wasteful number, since it uses less digits than its factorization.

72055505736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11244718 (or 11244711 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 45.

The spelling of 72055505736 in words is "seventy-two billion, fifty-five million, five hundred five thousand, seven hundred thirty-six".