275672000 has 112 divisors (see below), whose sum is σ = 723217248. Its totient is φ = 103731200.

The previous prime is 275671973. The next prime is 275672003. The reversal of 275672000 is 276572.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275672003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134987 + ... + 137013.

Almost surely, 2^275672000 is an apocalyptic number.

275672000 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 275672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361608624).

275672000 is an abundant number, since it is smaller than the sum of its proper divisors (447545248).

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

275672000 is a wasteful number, since it uses less digits than its factorization.

275672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 275672000 is about 16603.3731512606. The cubic root of 275672000 is about 650.8249879751.

The spelling of 275672000 in words is "two hundred seventy-five million, six hundred seventy-two thousand".