30782752 has 144 divisors (see below), whose sum is σ = 84079296. Its totient is φ = 10713600.

The previous prime is 30782749. The next prime is 30782761. The reversal of 30782752 is 25728703.

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, 992977 + ... + 993007.

It is an arithmetic number, because the mean of its divisors is an integer number (583884).

Almost surely, 2^30782752 is an apocalyptic number.

30782752 is a gapful number since it is divisible by the number (32) 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 30782752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42039648).

30782752 is an abundant number, since it is smaller than the sum of its proper divisors (53296544).

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

30782752 is a wasteful number, since it uses less digits than its factorization.

30782752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 30782752 is about 5548.2206156569. The cubic root of 30782752 is about 313.4025177946.

The spelling of 30782752 in words is "thirty million, seven hundred eighty-two thousand, seven hundred fifty-two".