30382720 has 64 divisors (see below), whose sum is σ = 75184200. Its totient is φ = 11726848.

The previous prime is 30382687. The next prime is 30382721. The reversal of 30382720 is 2728303.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16064064 + 14318656 = 4008^2 + 3784^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (30382721) 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, 17742 + ... + 19378.

Almost surely, 2^30382720 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 30382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37592100).

30382720 is an abundant number, since it is smaller than the sum of its proper divisors (44801480).

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

30382720 is a wasteful number, since it uses less digits than its factorization.

30382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 30382720 is about 5512.0522493895. The cubic root of 30382720 is about 312.0390045473.

The spelling of 30382720 in words is "thirty million, three hundred eighty-two thousand, seven hundred twenty".