306072 has 64 divisors (see below), whose sum is σ = 924000. Its totient is φ = 93312.

The previous prime is 306049. The next prime is 306083. The reversal of 306072 is 270603.

306072 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 (18).

It is an Ulam number.

It is a nialpdrome in base 13.

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 306072.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2754 + ... + 2862.

2³⁰⁶⁰⁷² 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 306072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462000).

306072 is an abundant number, since it is smaller than the sum of its proper divisors (617928).

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

306072 is a wasteful number, since it uses less digits than its factorization.

306072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

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

The square root of 306072 is about 553.2377427472. The cubic root of 306072 is about 67.3919258203.

Adding to 306072 its reverse (270603), we get a palindrome (576675).

The spelling of 306072 in words is "three hundred six thousand, seventy-two".