29187144 has 72 divisors (see below), whose sum is σ = 91965510. Its totient is φ = 8338176.

The previous prime is 29187127. The next prime is 29187157. The reversal of 29187144 is 44178192.

It can be written as a sum of positive squares in only one way, i.e., 21734244 + 7452900 = 4662^2 + 2730^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 29187099 and 29187108.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 609 + ... + 7664.

Almost surely, 2^29187144 is an apocalyptic number.

29187144 is a gapful number since it is divisible by the number (24) 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 29187144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45982755).

29187144 is an abundant number, since it is smaller than the sum of its proper divisors (62778366).

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

29187144 is a wasteful number, since it uses less digits than its factorization.

29187144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8299 (or 8285 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 29187144 is about 5402.5127487124. The cubic root of 29187144 is about 307.8911461062.

The spelling of 29187144 in words is "twenty-nine million, one hundred eighty-seven thousand, one hundred forty-four".