29830272 has 64 divisors (see below), whose sum is σ = 79976160. Its totient is φ = 9850880.

The previous prime is 29830271. The next prime is 29830301. The reversal of 29830272 is 27203892.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (29830271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50008 + ... + 50600.

Almost surely, 2^29830272 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 29830272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39988080).

29830272 is an abundant number, since it is smaller than the sum of its proper divisors (50145888).

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

29830272 is a wasteful number, since it uses less digits than its factorization.

29830272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 29830272 is about 5461.7096224534. The cubic root of 29830272 is about 310.1361594029.

The spelling of 29830272 in words is "twenty-nine million, eight hundred thirty thousand, two hundred seventy-two".