272460204720 has 240 divisors, whose sum is σ = 1002677824512. Its totient is φ = 65754339840.

The previous prime is 272460204703. The next prime is 272460204799. The reversal of 272460204720 is 27402064272.

272460204720 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 602 + 0 + 47 + 2 + 0 = 666.

272460204720 is digitally balanced in base 3, because in such base 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 (240).

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

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 47 ways as a sum of consecutive naturals, for example, 1689027 + ... + 1843293.

Almost surely, 2^272460204720 is an apocalyptic number.

272460204720 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 272460204720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501338912256).

272460204720 is an abundant number, since it is smaller than the sum of its proper divisors (730217619792).

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

272460204720 is a wasteful number, since it uses less digits than its factorization.

272460204720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154520 (or 154511 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

Adding to 272460204720 its reverse (27402064272), we get a palindrome (299862268992).

The spelling of 272460204720 in words is "two hundred seventy-two billion, four hundred sixty million, two hundred four thousand, seven hundred twenty".