272048400 has 180 divisors, whose sum is σ = 1016880228. Its totient is φ = 66954240.

The previous prime is 272048369. The next prime is 272048459. The reversal of 272048400 is 4840272.

It can be written as a sum of positive squares in 6 ways, for example, as 15023376 + 257025024 = 3876^2 + 16032^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43894 + ... + 49706.

Almost surely, 2^272048400 is an apocalyptic number.

272048400 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 272048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508440114).

272048400 is an abundant number, since it is smaller than the sum of its proper divisors (744831828).

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

272048400 is a wasteful number, since it uses less digits than its factorization.

272048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850 (or 5836 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 272048400 is about 16493.8897777328. The cubic root of 272048400 is about 647.9607886653.

Adding to 272048400 its reverse (4840272), we get a palindrome (276888672).

The spelling of 272048400 in words is "two hundred seventy-two million, forty-eight thousand, four hundred".