29872000 has 64 divisors (see below), whose sum is σ = 74309040. Its totient is φ = 11942400.

The previous prime is 29871997. The next prime is 29872013. The reversal of 29872000 is 27892.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 29872000.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 15067 + ... + 16933.

Almost surely, 2^29872000 is an apocalyptic number.

29872000 is a gapful number since it is divisible by the number (20) 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 29872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37154520).

29872000 is an abundant number, since it is smaller than the sum of its proper divisors (44437040).

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

29872000 is an equidigital number, since it uses as much as digits as its factorization.

29872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 29872000 is about 5465.5283367667. The cubic root of 29872000 is about 310.2807030845.

Adding to 29872000 its reverse (27892), we get a palindrome (29899892).

The spelling of 29872000 in words is "twenty-nine million, eight hundred seventy-two thousand".