30006720 has 224 divisors, whose sum is σ = 111191040. Its totient is φ = 7603200.

The previous prime is 30006703. The next prime is 30006737. The reversal of 30006720 is 2760003.

It is an interprime number because it is at equal distance from previous prime (30006703) and next prime (30006737).

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 = 30006693 and 30006702.

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 31 ways as a sum of consecutive naturals, for example, 198645 + ... + 198795.

Almost surely, 2^30006720 is an apocalyptic number.

30006720 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 30006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55595520).

30006720 is an abundant number, since it is smaller than the sum of its proper divisors (81184320).

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

30006720 is a wasteful number, since it uses less digits than its factorization.

30006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

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

The square root of 30006720 is about 5477.8389899668. The cubic root of 30006720 is about 310.7464495327.

Adding to 30006720 its reverse (2760003), we get a palindrome (32766723).

The spelling of 30006720 in words is "thirty million, six thousand, seven hundred twenty".