30872160 has 144 divisors (see below), whose sum is σ = 114987600. Its totient is φ = 7480320.

The previous prime is 30872147. The next prime is 30872197. The reversal of 30872160 is 6127803.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14866 + ... + 16814.

It is an arithmetic number, because the mean of its divisors is an integer number (798525).

Almost surely, 2^30872160 is an apocalyptic number.

30872160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57493800).

30872160 is an abundant number, since it is smaller than the sum of its proper divisors (84115440).

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

30872160 is a wasteful number, since it uses less digits than its factorization.

30872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 30872160 is about 5556.2721315645. The cubic root of 30872160 is about 313.7056486675.

Adding to 30872160 its reverse (6127803), we get a palindrome (36999963).

The spelling of 30872160 in words is "thirty million, eight hundred seventy-two thousand, one hundred sixty".