30372 has 12 divisors (see below), whose sum is σ = 70896. Its totient is φ = 10120.

The previous prime is 30367. The next prime is 30389. The reversal of 30372 is 27303.

It is a tau number, because it is divible by the number of its divisors (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30372.

It is an unprimeable number.

30372 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, 1254 + ... + 1277.

It is an arithmetic number, because the mean of its divisors is an integer number (5908).

2³⁰³⁷² is an apocalyptic number.

It is an amenable number.

30372 is an abundant number, since it is smaller than the sum of its proper divisors (40524).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35448).

30372 is a wasteful number, since it uses less digits than its factorization.

30372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2536 counting only the distinct ones).

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

The square root of 30372 is about 174.2756437372. The cubic root of 30372 is about 31.2002301101.

Adding to 30372 its reverse (27303), we get a palindrome (57675).

The spelling of 30372 in words is "thirty thousand, three hundred seventy-two".