30272000 has 160 divisors (see below), whose sum is σ = 84262464. Its totient is φ = 10752000.

The previous prime is 30271991. The next prime is 30272017. The reversal of 30272000 is 27203.

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 703979 + ... + 704021.

Almost surely, 2^30272000 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 30272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42131232).

30272000 is an abundant number, since it is smaller than the sum of its proper divisors (53990464).

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

30272000 is an equidigital number, since it uses as much as digits as its factorization.

30272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 30272000 is about 5501.9996364958. Note that the first 3 decimals coincide. The cubic root of 30272000 is about 311.6595014256.

Adding to 30272000 its reverse (27203), we get a palindrome (30299203).

The spelling of 30272000 in words is "thirty million, two hundred seventy-two thousand".