29379672 has 192 divisors, whose sum is σ = 100638720. Its totient is φ = 7838208.

The previous prime is 29379659. The next prime is 29379673. The reversal of 29379672 is 27697392.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29379673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231273 + ... + 231399.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 2^29379672 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 29379672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50319360).

29379672 is an abundant number, since it is smaller than the sum of its proper divisors (71259048).

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

29379672 is a wasteful number, since it uses less digits than its factorization.

29379672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

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

The square root of 29379672 is about 5420.3018366139. The cubic root of 29379672 is about 308.5666467513.

The spelling of 29379672 in words is "twenty-nine million, three hundred seventy-nine thousand, six hundred seventy-two".