272123200 has 84 divisors (see below), whose sum is σ = 682439580. Its totient is φ = 106762240.

The previous prime is 272123141. The next prime is 272123227. The reversal of 272123200 is 2321272.

It can be written as a sum of positive squares in 6 ways, for example, as 5184 + 272118016 = 72^2 + 16496^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83196 + ... + 86404.

Almost surely, 2^272123200 is an apocalyptic number.

272123200 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 272123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341219790).

272123200 is an abundant number, since it is smaller than the sum of its proper divisors (410316380).

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

272123200 is a wasteful number, since it uses less digits than its factorization.

272123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 272123200 is about 16496.1571282526. The cubic root of 272123200 is about 648.0201690618.

Adding to 272123200 its reverse (2321272), we get a palindrome (274444472).

It can be divided in two parts, 2721 and 23200, that added together give a square (25921 = 161²).

The spelling of 272123200 in words is "two hundred seventy-two million, one hundred twenty-three thousand, two hundred".