29287872 has 112 divisors (see below), whose sum is σ = 91257120. Its totient is φ = 9179136.

The previous prime is 29287861. The next prime is 29287877. The reversal of 29287872 is 27878292.

It is a happy number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29287877) 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, 28878 + ... + 29874.

Almost surely, 2^29287872 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 29287872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45628560).

29287872 is an abundant number, since it is smaller than the sum of its proper divisors (61969248).

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

29287872 is a wasteful number, since it uses less digits than its factorization.

29287872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1019 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 29287872 is about 5411.8270482343. The cubic root of 29287872 is about 308.2449280190.

The spelling of 29287872 in words is "twenty-nine million, two hundred eighty-seven thousand, eight hundred seventy-two".