272725820064 has 72 divisors (see below), whose sum is σ = 777460631220. Its totient is φ = 90686297088.

The previous prime is 272725820053. The next prime is 272725820077. The reversal of 272725820064 is 460028527272.

272725820064 is a `hidden beast` number, since 2 + 7 + 2 + 7 + 2 + 582 + 0 + 0 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 270920250000 + 1805570064 = 520500^2 + 42492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1039867 + ... + 1275450.

Almost surely, 2^272725820064 is an apocalyptic number.

272725820064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

272725820064 is an abundant number, since it is smaller than the sum of its proper divisors (504734811156).

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

272725820064 is a wasteful number, since it uses less digits than its factorization.

272725820064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315742 (or 2315731 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 272725820064 in words is "two hundred seventy-two billion, seven hundred twenty-five million, eight hundred twenty thousand, sixty-four".