30712320 has 240 divisors, whose sum is σ = 112349952. Its totient is φ = 7741440.

The previous prime is 30712313. The next prime is 30712333. The reversal of 30712320 is 2321703.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 30712293 and 30712302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714219 + ... + 714261.

Almost surely, 2^30712320 is an apocalyptic number.

30712320 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 30712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56174976).

30712320 is an abundant number, since it is smaller than the sum of its proper divisors (81637632).

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

30712320 is a wasteful number, since it uses less digits than its factorization.

30712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

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

The square root of 30712320 is about 5541.8697205907. The cubic root of 30712320 is about 313.1633100007.

The spelling of 30712320 in words is "thirty million, seven hundred twelve thousand, three hundred twenty".