30115872 has 72 divisors (see below), whose sum is σ = 87302124. Its totient is φ = 9844224.

The previous prime is 30115871. The next prime is 30115873. The reversal of 30115872 is 27851103.

It is an interprime number because it is at equal distance from previous prime (30115871) and next prime (30115873).

It can be written as a sum of positive squares in 2 ways, for example, as 30074256 + 41616 = 5484^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (30115871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14278 + ... + 16250.

Almost surely, 2^30115872 is an apocalyptic number.

30115872 is a gapful number since it is divisible by the number (32) 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 30115872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43651062).

30115872 is an abundant number, since it is smaller than the sum of its proper divisors (57186252).

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

30115872 is a wasteful number, since it uses less digits than its factorization.

30115872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 30115872 is about 5487.7929990115. The cubic root of 30115872 is about 311.1227824798.

Adding to 30115872 its reverse (27851103), we get a palindrome (57966975).

The spelling of 30115872 in words is "thirty million, one hundred fifteen thousand, eight hundred seventy-two".