29014272 has 162 divisors, whose sum is σ = 97691958. Its totient is φ = 8257536.

The previous prime is 29014261. The next prime is 29014277. The reversal of 29014272 is 27241092.

It can be written as a sum of positive squares in only one way, i.e., 28901376 + 112896 = 5376^2 + 336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29014277) 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 17 ways as a sum of consecutive naturals, for example, 112768 + ... + 113024.

Almost surely, 2^29014272 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 29014272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48845979).

29014272 is an abundant number, since it is smaller than the sum of its proper divisors (68677686).

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

29014272 is a wasteful number, since it uses less digits than its factorization.

29014272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 29014272 is about 5386.4897660721. The cubic root of 29014272 is about 307.2820744244.

The spelling of 29014272 in words is "twenty-nine million, fourteen thousand, two hundred seventy-two".