29215872 has 96 divisors (see below), whose sum is σ = 96108480. Its totient is φ = 8345088.

The previous prime is 29215871. The next prime is 29215883. The reversal of 29215872 is 27851292.

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 not an unprimeable number, because it can be changed into a prime (29215871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6253 + ... + 9875.

It is an arithmetic number, because the mean of its divisors is an integer number (1001130).

Almost surely, 2^29215872 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 29215872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48054240).

29215872 is an abundant number, since it is smaller than the sum of its proper divisors (66892608).

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

29215872 is a wasteful number, since it uses less digits than its factorization.

29215872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3635 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 29215872 is about 5405.1708576140. The cubic root of 29215872 is about 307.9921288819.

It can be divided in two parts, 292158 and 72, that added together give a triangular number (292230 = T₇₆₄).

The spelling of 29215872 in words is "twenty-nine million, two hundred fifteen thousand, eight hundred seventy-two".