301872 has 40 divisors (see below), whose sum is σ = 823360. Its totient is φ = 95040.

The previous prime is 301867. The next prime is 301877. The reversal of 301872 is 278103.

It is an interprime number because it is at equal distance from previous prime (301867) and next prime (301877).

It is a super-2 number, since 2×301872² = 182253408768, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (301877) by changing a digit.

301872 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 7 ways as a sum of consecutive naturals, for example, 747 + ... + 1077.

It is an arithmetic number, because the mean of its divisors is an integer number (20584).

2³⁰¹⁸⁷² 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 301872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411680).

301872 is an abundant number, since it is smaller than the sum of its proper divisors (521488).

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

301872 is a wasteful number, since it uses less digits than its factorization.

301872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 301872 is about 549.4287942946. The cubic root of 301872 is about 67.0822484382.

Adding to 301872 its reverse (278103), we get a palindrome (579975).

The spelling of 301872 in words is "three hundred one thousand, eight hundred seventy-two".