303072 has 96 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 76800.

The previous prime is 303053. The next prime is 303073. The reversal of 303072 is 270303.

303072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 303072.

It is not an unprimeable number, because it can be changed into a prime (303073) by changing a digit.

303072 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 15 ways as a sum of consecutive naturals, for example, 7372 + ... + 7412.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2³⁰³⁰⁷² is an apocalyptic number.

303072 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 303072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032).

303072 is an abundant number, since it is smaller than the sum of its proper divisors (712992).

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

303072 is a wasteful number, since it uses less digits than its factorization.

303072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 303072 is about 550.5197544140. The cubic root of 303072 is about 67.1710192496.

Adding to 303072 its reverse (270303), we get a palindrome (573375).

The spelling of 303072 in words is "three hundred three thousand, seventy-two", and thus it is an iban number.