29713872 has 80 divisors (see below), whose sum is σ = 83486720. Its totient is φ = 9072000.

The previous prime is 29713829. The next prime is 29713877. The reversal of 29713872 is 27831792.

It is a self number, because there is not a number n which added to its sum of digits gives 29713872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29713877) 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, 27747 + ... + 28797.

It is an arithmetic number, because the mean of its divisors is an integer number (1043584).

Almost surely, 2^29713872 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 29713872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41743360).

29713872 is an abundant number, since it is smaller than the sum of its proper divisors (53772848).

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

29713872 is a wasteful number, since it uses less digits than its factorization.

29713872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1106 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 29713872 is about 5451.0432029108. The cubic root of 29713872 is about 309.7322419126.

The spelling of 29713872 in words is "twenty-nine million, seven hundred thirteen thousand, eight hundred seventy-two".