272151200 has 72 divisors (see below), whose sum is σ = 670699260. Its totient is φ = 107827200.

The previous prime is 272151199. The next prime is 272151211. The reversal of 272151200 is 2151272.

It can be written as a sum of positive squares in 6 ways, for example, as 34621456 + 237529744 = 5884^2 + 15412^2 .

It is a super-2 number, since 2×272151200² = 148132551322880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 85640 + ... + 88760.

Almost surely, 2^272151200 is an apocalyptic number.

272151200 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 272151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335349630).

272151200 is an abundant number, since it is smaller than the sum of its proper divisors (398548060).

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

272151200 is a wasteful number, since it uses less digits than its factorization.

272151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 272151200 is about 16497.0057889303. The cubic root of 272151200 is about 648.0423942187.

The spelling of 272151200 in words is "two hundred seventy-two million, one hundred fifty-one thousand, two hundred".