30288720 has 240 divisors, whose sum is σ = 118742400. Its totient is φ = 6251520.

The previous prime is 30288691. The next prime is 30288737. The reversal of 30288720 is 2788203.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 203206 + ... + 203354.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 2^30288720 is an apocalyptic number.

30288720 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 30288720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59371200).

30288720 is an abundant number, since it is smaller than the sum of its proper divisors (88453680).

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

30288720 is a wasteful number, since it uses less digits than its factorization.

30288720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 30288720 is about 5503.5188743203. The cubic root of 30288720 is about 311.7168700366.

The spelling of 30288720 in words is "thirty million, two hundred eighty-eight thousand, seven hundred twenty".