300072 has 16 divisors (see below), whose sum is σ = 750240. Its totient is φ = 100016.

The previous prime is 300043. The next prime is 300073. The reversal of 300072 is 270003.

300072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×300072³ = 81058333997919744, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (300073) by changing a digit.

300072 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 3 ways as a sum of consecutive naturals, for example, 6228 + ... + 6275.

It is an arithmetic number, because the mean of its divisors is an integer number (46890).

2³⁰⁰⁰⁷² is an apocalyptic number.

It is an amenable number.

300072 is an abundant number, since it is smaller than the sum of its proper divisors (450168).

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

300072 is a wasteful number, since it uses less digits than its factorization.

300072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12512 (or 12508 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 300072 is about 547.7882802689. The cubic root of 300072 is about 66.9486500434.

Adding to 300072 its reverse (270003), we get a palindrome (570075).

It can be divided in two parts, 3000 and 72, that multiplied together give a cube (216000 = 60³).

The spelling of 300072 in words is "three hundred thousand, seventy-two", and thus it is an iban number.