272891735840 has 192 divisors, whose sum is σ = 695608300800. Its totient is φ = 100899532800.

The previous prime is 272891735749. The next prime is 272891735843. The reversal of 272891735840 is 48537198272.

It is not an unprimeable number, because it can be changed into a prime (272891735843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20281115 + ... + 20294565.

It is an arithmetic number, because the mean of its divisors is an integer number (3622959900).

Almost surely, 2^272891735840 is an apocalyptic number.

272891735840 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 272891735840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347804150400).

272891735840 is an abundant number, since it is smaller than the sum of its proper divisors (422716564960).

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

272891735840 is a wasteful number, since it uses less digits than its factorization.

272891735840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13675 (or 13667 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 272891735840 in words is "two hundred seventy-two billion, eight hundred ninety-one million, seven hundred thirty-five thousand, eight hundred forty".