272135784000 has 224 divisors, whose sum is σ = 945888278400. Its totient is φ = 68749977600.

The previous prime is 272135783999. The next prime is 272135784079. The reversal of 272135784000 is 487531272.

It is a self number, because there is not a number n which added to its sum of digits gives 272135784000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157606 + ... + 754394.

Almost surely, 2^272135784000 is an apocalyptic number.

272135784000 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 272135784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472944139200).

272135784000 is an abundant number, since it is smaller than the sum of its proper divisors (673752494400).

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

272135784000 is a wasteful number, since it uses less digits than its factorization.

272135784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596838 (or 596818 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 272135784000 in words is "two hundred seventy-two billion, one hundred thirty-five million, seven hundred eighty-four thousand".