30972 has 24 divisors (see below), whose sum is σ = 75600. Its totient is φ = 9856.

The previous prime is 30971. The next prime is 30977. The reversal of 30972 is 27903.

It is a plaindrome in base 13.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30971) 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, 304 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

2³⁰⁹⁷² 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 30972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37800).

30972 is an abundant number, since it is smaller than the sum of its proper divisors (44628).

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

30972 is a wasteful number, since it uses less digits than its factorization.

30972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 30972 is about 175.9886359968. The cubic root of 30972 is about 31.4043457547.

The spelling of 30972 in words is "thirty thousand, nine hundred seventy-two".