30645072 has 60 divisors (see below), whose sum is σ = 87241440. Its totient is φ = 10039104.

The previous prime is 30645071. The next prime is 30645073. The reversal of 30645072 is 27054603.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30645071) and next prime (30645073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30645071) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6693 + ... + 10299.

It is an arithmetic number, because the mean of its divisors is an integer number (1454024).

Almost surely, 2^30645072 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 30645072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43620720).

30645072 is an abundant number, since it is smaller than the sum of its proper divisors (56596368).

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

30645072 is a wasteful number, since it uses less digits than its factorization.

30645072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 30645072 is about 5535.7991293037. The cubic root of 30645072 is about 312.9345744773.

Adding to 30645072 its reverse (27054603), we get a palindrome (57699675).

The spelling of 30645072 in words is "thirty million, six hundred forty-five thousand, seventy-two".