300672 has 80 divisors (see below), whose sum is σ = 925650. Its totient is φ = 96768.

The previous prime is 300667. The next prime is 300673. The reversal of 300672 is 276003.

300672 = 28³ + 29³ + ... + 36³.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 46656 = 504^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (300673) by changing a digit.

300672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10354 + ... + 10382.

2³⁰⁰⁶⁷² is an apocalyptic number.

300672 is a gapful number since it is divisible by the number (32) 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 300672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462825).

300672 is an abundant number, since it is smaller than the sum of its proper divisors (624978).

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

300672 is an equidigital number, since it uses as much as digits as its factorization.

300672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 300672 is about 548.3356636222. The cubic root of 300672 is about 66.9932420599.

Adding to 300672 its reverse (276003), we get a palindrome (576675).

The spelling of 300672 in words is "three hundred thousand, six hundred seventy-two".