272648000 has 112 divisors (see below), whose sum is σ = 682563024. Its totient is φ = 107878400.

The previous prime is 272647897. The next prime is 272648009. The reversal of 272648000 is 846272.

It can be written as a sum of positive squares in 8 ways, for example, as 529984 + 272118016 = 728^2 + 16496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272648009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1383902 + ... + 1384098.

Almost surely, 2^272648000 is an apocalyptic number.

272648000 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 272648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341281512).

272648000 is an abundant number, since it is smaller than the sum of its proper divisors (409915024).

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

272648000 is a wasteful number, since it uses less digits than its factorization.

272648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 272648000 is about 16512.0562014547. The cubic root of 272648000 is about 648.4364787810.

The spelling of 272648000 in words is "two hundred seventy-two million, six hundred forty-eight thousand".