29972088 has 96 divisors (see below), whose sum is σ = 87946560. Its totient is φ = 9185280.

The previous prime is 29972087. The next prime is 29972093. The reversal of 29972088 is 88027992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29972087) 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, 57268 + ... + 57788.

It is an arithmetic number, because the mean of its divisors is an integer number (916110).

Almost surely, 2^29972088 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 29972088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43973280).

29972088 is an abundant number, since it is smaller than the sum of its proper divisors (57974472).

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

29972088 is a wasteful number, since it uses less digits than its factorization.

29972088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 29972088 is about 5474.6769767722. The cubic root of 29972088 is about 310.6268550563.

The spelling of 29972088 in words is "twenty-nine million, nine hundred seventy-two thousand, eighty-eight".