30072480 has 192 divisors, whose sum is σ = 102187008. Its totient is φ = 7418880.

The previous prime is 30072479. The next prime is 30072487. The reversal of 30072480 is 8427003.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30072480.

It is not an unprimeable number, because it can be changed into a prime (30072487) 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 31 ways as a sum of consecutive naturals, for example, 639817 + ... + 639863.

It is an arithmetic number, because the mean of its divisors is an integer number (532224).

Almost surely, 2^30072480 is an apocalyptic number.

30072480 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 30072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51093504).

30072480 is an abundant number, since it is smaller than the sum of its proper divisors (72114528).

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

30072480 is a wasteful number, since it uses less digits than its factorization.

30072480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 30072480 is about 5483.8380720076. The cubic root of 30072480 is about 310.9732851334.

Adding to 30072480 its reverse (8427003), we get a palindrome (38499483).

The spelling of 30072480 in words is "thirty million, seventy-two thousand, four hundred eighty".