272165080320 has 720 divisors, whose sum is σ = 1148976288768. Its totient is φ = 60197437440.

The previous prime is 272165080277. The next prime is 272165080357. The reversal of 272165080320 is 23080561272.

272165080320 is a `hidden beast` number, since 272 + 1 + 65 + 0 + 8 + 0 + 320 = 666.

272165080320 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 22492512 + ... + 22504608.

Almost surely, 2^272165080320 is an apocalyptic number.

272165080320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272165080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574488144384).

272165080320 is an abundant number, since it is smaller than the sum of its proper divisors (876811208448).

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

272165080320 is a wasteful number, since it uses less digits than its factorization.

272165080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12168 (or 12145 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 272165080320 in words is "two hundred seventy-two billion, one hundred sixty-five million, eighty thousand, three hundred twenty".