29466272 has 48 divisors (see below), whose sum is σ = 64012032. Its totient is φ = 13240320.

The previous prime is 29466271. The next prime is 29466293. The reversal of 29466272 is 27266492.

It is a happy number.

It is a super-2 number, since 2×29466272² = 1736522371155968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29466271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33713 + ... + 34575.

It is an arithmetic number, because the mean of its divisors is an integer number (1333584).

Almost surely, 2^29466272 is an apocalyptic number.

29466272 is a gapful number since it is divisible by the number (22) 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 29466272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32006016).

29466272 is an abundant number, since it is smaller than the sum of its proper divisors (34545760).

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

29466272 is a wasteful number, since it uses less digits than its factorization.

29466272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 973 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 29466272 is about 5428.2844435420. The cubic root of 29466272 is about 308.8695280456.

It can be divided in two parts, 294 and 66272, that added together give a palindrome (66566).

The spelling of 29466272 in words is "twenty-nine million, four hundred sixty-six thousand, two hundred seventy-two".