275872000 has 144 divisors (see below), whose sum is σ = 708834672. Its totient is φ = 106905600.

The previous prime is 275871989. The next prime is 275872013. The reversal of 275872000 is 278572.

It can be written as a sum of positive squares in 8 ways, for example, as 72182016 + 203689984 = 8496^2 + 14272^2 .

It is a super-2 number, since 2×275872000² = 152210720768000000, which contains 22 as substring.

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, 1183884 + ... + 1184116.

It is an arithmetic number, because the mean of its divisors is an integer number (4922463).

Almost surely, 2^275872000 is an apocalyptic number.

275872000 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 275872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354417336).

275872000 is an abundant number, since it is smaller than the sum of its proper divisors (432962672).

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

275872000 is an equidigital number, since it uses as much as digits as its factorization.

275872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 275872000 is about 16609.3949317848. The cubic root of 275872000 is about 650.9823410760.

The spelling of 275872000 in words is "two hundred seventy-five million, eight hundred seventy-two thousand".