272260800 has 504 divisors, whose sum is σ = 1151367776. Its totient is φ = 59719680.

The previous prime is 272260799. The next prime is 272260811. The reversal of 272260800 is 8062272.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3729564 + ... + 3729636.

Almost surely, 2^272260800 is an apocalyptic number.

272260800 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 272260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575683888).

272260800 is an abundant number, since it is smaller than the sum of its proper divisors (879106976).

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

272260800 is a wasteful number, since it uses less digits than its factorization.

272260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 272260800 is about 16500.3272694817. The cubic root of 272260800 is about 648.1293751741.

The spelling of 272260800 in words is "two hundred seventy-two million, two hundred sixty thousand, eight hundred".