272776000 has 112 divisors (see below), whose sum is σ = 772192512. Its totient is φ = 93504000.

The previous prime is 272775991. The next prime is 272776013. The reversal of 272776000 is 677272.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 53565 + ... + 58435.

It is an arithmetic number, because the mean of its divisors is an integer number (6894576).

Almost surely, 2^272776000 is an apocalyptic number.

272776000 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 272776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386096256).

272776000 is an abundant number, since it is smaller than the sum of its proper divisors (499416512).

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

272776000 is an equidigital number, since it uses as much as digits as its factorization.

272776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905 (or 4885 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 31.

The square root of 272776000 is about 16515.9317024502. The cubic root of 272776000 is about 648.5379366852.

The spelling of 272776000 in words is "two hundred seventy-two million, seven hundred seventy-six thousand".