29988672 has 112 divisors (see below), whose sum is σ = 92610432. Its totient is φ = 8386560.

The previous prime is 29988659. The next prime is 29988677. The reversal of 29988672 is 27688992.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (870912) is a multiple of the sum of its prime divisors (486).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29988677) 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 15 ways as a sum of consecutive naturals, for example, 71022 + ... + 71442.

Almost surely, 2^29988672 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 29988672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46305216).

29988672 is an abundant number, since it is smaller than the sum of its proper divisors (62621760).

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

29988672 is a wasteful number, since it uses less digits than its factorization.

29988672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 486 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 29988672 is about 5476.1913772256. The cubic root of 29988672 is about 310.6841359719.

The spelling of 29988672 in words is "twenty-nine million, nine hundred eighty-eight thousand, six hundred seventy-two".