29955072 has 132 divisors (see below), whose sum is σ = 93343200. Its totient is φ = 8515584.

The previous prime is 29955061. The next prime is 29955091. The reversal of 29955072 is 27055992.

It is a self number, because there is not a number n which added to its sum of digits gives 29955072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150429 + ... + 150627.

Almost surely, 2^29955072 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 29955072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46671600).

29955072 is an abundant number, since it is smaller than the sum of its proper divisors (63388128).

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

29955072 is a wasteful number, since it uses less digits than its factorization.

29955072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 29955072 is about 5473.1226918460. The cubic root of 29955072 is about 310.5680600518.

The spelling of 29955072 in words is "twenty-nine million, nine hundred fifty-five thousand, seventy-two".