272355916320 has 336 divisors, whose sum is σ = 995853180672. Its totient is φ = 70284464640.

The previous prime is 272355916303. The next prime is 272355916333. The reversal of 272355916320 is 23619553272.

272355916320 is a `hidden beast` number, since 2 + 7 + 2 + 3 + 5 + 5 + 9 + 1 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3578179 + ... + 3653501.

It is an arithmetic number, because the mean of its divisors is an integer number (2963848752).

Almost surely, 2^272355916320 is an apocalyptic number.

272355916320 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 272355916320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497926590336).

272355916320 is an abundant number, since it is smaller than the sum of its proper divisors (723497264352).

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

272355916320 is an equidigital number, since it uses as much as digits as its factorization.

272355916320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75387 (or 75364 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 272355916320 in words is "two hundred seventy-two billion, three hundred fifty-five million, nine hundred sixteen thousand, three hundred twenty".