30705672 has 96 divisors (see below), whose sum is σ = 86205600. Its totient is φ = 9086976.

The previous prime is 30705643. The next prime is 30705677. The reversal of 30705672 is 27650703.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (30705677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131668 + ... + 131900.

It is an arithmetic number, because the mean of its divisors is an integer number (897975).

Almost surely, 2^30705672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30705672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43102800).

30705672 is an abundant number, since it is smaller than the sum of its proper divisors (55499928).

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

30705672 is a wasteful number, since it uses less digits than its factorization.

30705672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 30705672 is about 5541.2698905576. The cubic root of 30705672 is about 313.1407125553.

The spelling of 30705672 in words is "thirty million, seven hundred five thousand, six hundred seventy-two".