29072 has 20 divisors (see below), whose sum is σ = 59520. Its totient is φ = 13728.

The previous prime is 29063. The next prime is 29077. The reversal of 29072 is 27092.

It is an alternating number because its digits alternate between even and odd.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29072.

It is not an unprimeable number, because it can be changed into a prime (29077) by changing a digit.

29072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 329 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (2976).

2²⁹⁰⁷² 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 29072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29760).

29072 is an abundant number, since it is smaller than the sum of its proper divisors (30448).

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

29072 is a wasteful number, since it uses less digits than its factorization.

29072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 29072 is about 170.5051318876. The cubic root of 29072 is about 30.7485733139.

Adding to 29072 its sum of digits (20), we get a palindrome (29092).

The spelling of 29072 in words is "twenty-nine thousand, seventy-two".