272896000 has 208 divisors, whose sum is σ = 751344048. Its totient is φ = 98304000.

The previous prime is 272895991. The next prime is 272896021. The reversal of 272896000 is 698272.

It can be written as a sum of positive squares in 8 ways, for example, as 212926464 + 59969536 = 14592^2 + 7744^2 .

It is a tau number, because it is divible by the number of its divisors (208).

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, 6655980 + ... + 6656020.

It is an arithmetic number, because the mean of its divisors is an integer number (3612231).

Almost surely, 2^272896000 is an apocalyptic number.

272896000 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 272896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375672024).

272896000 is an abundant number, since it is smaller than the sum of its proper divisors (478448048).

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

272896000 is an equidigital number, since it uses as much as digits as its factorization.

272896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 272896000 is about 16519.5641588996. The cubic root of 272896000 is about 648.6330246487.

The spelling of 272896000 in words is "two hundred seventy-two million, eight hundred ninety-six thousand".