300972 has 24 divisors (see below), whose sum is σ = 802816. Its totient is φ = 85968.

The previous prime is 300967. The next prime is 300973. The reversal of 300972 is 279003.

300972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (300973) 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, 1708 + ... + 1875.

2³⁰⁰⁹⁷² is an apocalyptic number.

It is an amenable number.

300972 is an abundant number, since it is smaller than the sum of its proper divisors (501844).

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

300972 is a wasteful number, since it uses less digits than its factorization.

300972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 300972 is about 548.6091504888. The cubic root of 300972 is about 67.0155158244.

Adding to 300972 its reverse (279003), we get a palindrome (579975).

It can be divided in two parts, 3009 and 72, that added together give a triangular number (3081 = T₇₈).

The spelling of 300972 in words is "three hundred thousand, nine hundred seventy-two".