29914752 has 128 divisors (see below), whose sum is σ = 94003200. Its totient is φ = 8248320.

The previous prime is 29914733. The next prime is 29914757. The reversal of 29914752 is 25741992.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 29914752.

It is not an unprimeable number, because it can be changed into a prime (29914757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83149 + ... + 83507.

It is an arithmetic number, because the mean of its divisors is an integer number (734400).

Almost surely, 2^29914752 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 29914752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47001600).

29914752 is an abundant number, since it is smaller than the sum of its proper divisors (64088448).

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

29914752 is a wasteful number, since it uses less digits than its factorization.

29914752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 402 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 29914752 is about 5469.4379967232. The cubic root of 29914752 is about 310.4286543144.

It can be divided in two parts, 299 and 14752, that added together give a palindrome (15051).

The spelling of 29914752 in words is "twenty-nine million, nine hundred fourteen thousand, seven hundred fifty-two".