29296872 has 96 divisors (see below), whose sum is σ = 87946560. Its totient is φ = 8736000.

The previous prime is 29296853. The next prime is 29296877. The reversal of 29296872 is 27869292.

29296872 is nontrivially palindromic in base 5.

It is not an unprimeable number, because it can be changed into a prime (29296877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55972 + ... + 56492.

It is an arithmetic number, because the mean of its divisors is an integer number (916110).

Almost surely, 2^29296872 is an apocalyptic number.

29296872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29296872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43973280).

29296872 is an abundant number, since it is smaller than the sum of its proper divisors (58649688).

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

29296872 is a wasteful number, since it uses less digits than its factorization.

29296872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 608 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 29296872 is about 5412.6584965246. The cubic root of 29296872 is about 308.2764987688.

It can be divided in two parts, 2929 and 6872, that added together give a square (9801 = 99²).

The spelling of 29296872 in words is "twenty-nine million, two hundred ninety-six thousand, eight hundred seventy-two".