29825172 has 120 divisors (see below), whose sum is σ = 85994216. Its totient is φ = 8957952.

The previous prime is 29825153. The next prime is 29825179. The reversal of 29825172 is 27152892.

It can be written as a sum of positive squares in 4 ways, for example, as 1245456 + 28579716 = 1116^2 + 5346^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29825179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 307428 + ... + 307524.

Almost surely, 2^29825172 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 29825172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42997108).

29825172 is an abundant number, since it is smaller than the sum of its proper divisors (56169044).

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

29825172 is a wasteful number, since it uses less digits than its factorization.

29825172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

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

The square root of 29825172 is about 5461.2427157196. The cubic root of 29825172 is about 310.1184840186.

The spelling of 29825172 in words is "twenty-nine million, eight hundred twenty-five thousand, one hundred seventy-two".