29973672 has 64 divisors (see below), whose sum is σ = 83808000. Its totient is φ = 9925632.

The previous prime is 29973649. The next prime is 29973677. The reversal of 29973672 is 27637992.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (29973677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41329 + ... + 42047.

It is an arithmetic number, because the mean of its divisors is an integer number (1309500).

Almost surely, 2^29973672 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 29973672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41904000).

29973672 is an abundant number, since it is smaller than the sum of its proper divisors (53834328).

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

29973672 is a wasteful number, since it uses less digits than its factorization.

29973672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 917 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 29973672 is about 5474.8216409304. The cubic root of 29973672 is about 310.6323270838.

The spelling of 29973672 in words is "twenty-nine million, nine hundred seventy-three thousand, six hundred seventy-two".