30072 has 32 divisors (see below), whose sum is σ = 86400. Its totient is φ = 8544.

The previous prime is 30071. The next prime is 30089. The reversal of 30072 is 27003.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30071) 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, 79 + ... + 257.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

2³⁰⁰⁷² 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 30072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43200).

30072 is an abundant number, since it is smaller than the sum of its proper divisors (56328).

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

30072 is a wasteful number, since it uses less digits than its factorization.

30072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

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

The square root of 30072 is about 173.4128022956. The cubic root of 30072 is about 31.0971630598.

Adding to 30072 its reverse (27003), we get a palindrome (57075).

The spelling of 30072 in words is "thirty thousand, seventy-two".