272576000 has 80 divisors (see below), whose sum is σ = 679844880. Its totient is φ = 109004800.

The previous prime is 272575997. The next prime is 272576027. The reversal of 272576000 is 675272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61871 + ... + 66129.

It is an arithmetic number, because the mean of its divisors is an integer number (8498061).

Almost surely, 2^272576000 is an apocalyptic number.

272576000 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 272576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339922440).

272576000 is an abundant number, since it is smaller than the sum of its proper divisors (407268880).

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

272576000 is an frugal number, since it uses more digits than its factorization.

272576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 272576000 is about 16509.8758323617. The cubic root of 272576000 is about 648.3793947547.

The spelling of 272576000 in words is "two hundred seventy-two million, five hundred seventy-six thousand".