272384000 has 240 divisors, whose sum is σ = 817864320. Its totient is φ = 88473600.

The previous prime is 272383999. The next prime is 272384017. The reversal of 272384000 is 483272.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14335991 + ... + 14336009.

It is an arithmetic number, because the mean of its divisors is an integer number (3407768).

Almost surely, 2^272384000 is an apocalyptic number.

272384000 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 272384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408932160).

272384000 is an abundant number, since it is smaller than the sum of its proper divisors (545480320).

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

272384000 is an frugal number, since it uses more digits than its factorization.

272384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 272384000 is about 16504.0601065314. The cubic root of 272384000 is about 648.2271215235.

The spelling of 272384000 in words is "two hundred seventy-two million, three hundred eighty-four thousand".