30672000 has 256 divisors, whose sum is σ = 114566400. Its totient is φ = 8064000.

The previous prime is 30671941. The next prime is 30672007. The reversal of 30672000 is 27603.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30672007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431965 + ... + 432035.

It is an arithmetic number, because the mean of its divisors is an integer number (447525).

Almost surely, 2^30672000 is an apocalyptic number.

30672000 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 30672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57283200).

30672000 is an abundant number, since it is smaller than the sum of its proper divisors (83894400).

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

30672000 is an equidigital number, since it uses as much as digits as its factorization.

30672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 81 counting only the distinct ones).

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

The square root of 30672000 is about 5538.2307644229. The cubic root of 30672000 is about 313.0262067766.

Adding to 30672000 its reverse (27603), we get a palindrome (30699603).

The spelling of 30672000 in words is "thirty million, six hundred seventy-two thousand".