29672352 has 96 divisors (see below), whose sum is σ = 88119360. Its totient is φ = 9711360.

The previous prime is 29672347. The next prime is 29672353. The reversal of 29672352 is 25327692.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29672353) 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, 52423 + ... + 52985.

It is an arithmetic number, because the mean of its divisors is an integer number (917910).

Almost surely, 2^29672352 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 29672352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44059680).

29672352 is an abundant number, since it is smaller than the sum of its proper divisors (58447008).

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

29672352 is a wasteful number, since it uses less digits than its factorization.

29672352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 629 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 29672352 is about 5447.2334262449. The cubic root of 29672352 is about 309.5879089082.

The spelling of 29672352 in words is "twenty-nine million, six hundred seventy-two thousand, three hundred fifty-two".