29938272 has 192 divisors, whose sum is σ = 101606400. Its totient is φ = 7501824.

The previous prime is 29938261. The next prime is 29938273. The reversal of 29938272 is 27283992.

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 (29938273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200854 + ... + 201002.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 2^29938272 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 29938272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

29938272 is an abundant number, since it is smaller than the sum of its proper divisors (71668128).

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

29938272 is a wasteful number, since it uses less digits than its factorization.

29938272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 29938272 is about 5471.5877037657. The cubic root of 29938272 is about 310.5099895396.

The spelling of 29938272 in words is "twenty-nine million, nine hundred thirty-eight thousand, two hundred seventy-two".