29144772 has 60 divisors (see below), whose sum is σ = 79523136. Its totient is φ = 9290160.

The previous prime is 29144729. The next prime is 29144779. The reversal of 29144772 is 27744192.

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 (29144779) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5497 + ... + 9407.

Almost surely, 2^29144772 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 29144772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39761568).

29144772 is an abundant number, since it is smaller than the sum of its proper divisors (50378364).

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

29144772 is a wasteful number, since it uses less digits than its factorization.

29144772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3939 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 29144772 is about 5398.5898158686. The cubic root of 29144772 is about 307.7420818260.

The spelling of 29144772 in words is "twenty-nine million, one hundred forty-four thousand, seven hundred seventy-two".