29872752 has 120 divisors (see below), whose sum is σ = 96775056. Its totient is φ = 7870464.

The previous prime is 29872751. The next prime is 29872763. The reversal of 29872752 is 25727892.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29872751) 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, 30088 + ... + 31064.

Almost surely, 2^29872752 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 29872752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48387528).

29872752 is an abundant number, since it is smaller than the sum of its proper divisors (66902304).

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

29872752 is a wasteful number, since it uses less digits than its factorization.

29872752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1002 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 29872752 is about 5465.5971311468. The cubic root of 29872752 is about 310.2833067393.

The spelling of 29872752 in words is "twenty-nine million, eight hundred seventy-two thousand, seven hundred fifty-two".