300872 has 32 divisors (see below), whose sum is σ = 665280. Its totient is φ = 125760.

The previous prime is 300869. The next prime is 300877. The reversal of 300872 is 278003.

300872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (300877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1013 + ... + 1275.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2³⁰⁰⁸⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332640).

300872 is an abundant number, since it is smaller than the sum of its proper divisors (364408).

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

300872 is a wasteful number, since it uses less digits than its factorization.

300872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 300872 is about 548.5180033508. The cubic root of 300872 is about 67.0080928815.

Adding to 300872 its reverse (278003), we get a palindrome (578875).

The spelling of 300872 in words is "three hundred thousand, eight hundred seventy-two".