30672432 has 240 divisors, whose sum is σ = 108326400. Its totient is φ = 8382528.

The previous prime is 30672431. The next prime is 30672443. The reversal of 30672432 is 23427603.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30672396 and 30672405.

It is not an unprimeable number, because it can be changed into a prime (30672431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1333573 + ... + 1333595.

It is an arithmetic number, because the mean of its divisors is an integer number (451360).

Almost surely, 2^30672432 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 30672432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54163200).

30672432 is an abundant number, since it is smaller than the sum of its proper divisors (77653968).

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

30672432 is an equidigital number, since it uses as much as digits as its factorization.

30672432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 30672432 is about 5538.2697659106. The cubic root of 30672432 is about 313.0276763763.

The spelling of 30672432 in words is "thirty million, six hundred seventy-two thousand, four hundred thirty-two".