30372120 has 96 divisors (see below), whose sum is σ = 99403200. Its totient is φ = 8042496.

The previous prime is 30372119. The next prime is 30372131. The reversal of 30372120 is 2127303.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30372093 and 30372102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85864 + ... + 86216.

It is an arithmetic number, because the mean of its divisors is an integer number (1035450).

Almost surely, 2^30372120 is an apocalyptic number.

30372120 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 30372120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49701600).

30372120 is an abundant number, since it is smaller than the sum of its proper divisors (69031080).

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

30372120 is a wasteful number, since it uses less digits than its factorization.

30372120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 30372120 is about 5511.0906361627. The cubic root of 30372120 is about 312.0027120080.

Adding to 30372120 its reverse (2127303), we get a palindrome (32499423).

The spelling of 30372120 in words is "thirty million, three hundred seventy-two thousand, one hundred twenty".