30024720 has 240 divisors, whose sum is σ = 116992512. Its totient is φ = 6819840.

The previous prime is 30024697. The next prime is 30024733. The reversal of 30024720 is 2742003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×30024720² = 1802967622156800, which contains 22 as substring.

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 = 30024693 and 30024702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134529 + ... + 134751.

Almost surely, 2^30024720 is an apocalyptic number.

30024720 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 30024720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58496256).

30024720 is an abundant number, since it is smaller than the sum of its proper divisors (86967792).

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

30024720 is a wasteful number, since it uses less digits than its factorization.

30024720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 30024720 is about 5479.4817273169. The cubic root of 30024720 is about 310.8085724841.

Adding to 30024720 its reverse (2742003), we get a palindrome (32766723).

The spelling of 30024720 in words is "thirty million, twenty-four thousand, seven hundred twenty".