29439072 has 96 divisors (see below), whose sum is σ = 92504160. Its totient is φ = 9054720.

The previous prime is 29439071. The next prime is 29439073. The reversal of 29439072 is 27093492.

It is an interprime number because it is at equal distance from previous prime (29439071) and next prime (29439073).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29439071) 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, 9922 + ... + 12542.

It is an arithmetic number, because the mean of its divisors is an integer number (963585).

Almost surely, 2^29439072 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 29439072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46252080).

29439072 is an abundant number, since it is smaller than the sum of its proper divisors (63065088).

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

29439072 is a wasteful number, since it uses less digits than its factorization.

29439072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 29439072 is about 5425.7784694917. The cubic root of 29439072 is about 308.7744607370.

The spelling of 29439072 in words is "twenty-nine million, four hundred thirty-nine thousand, seventy-two".