29974672 has 120 divisors (see below), whose sum is σ = 77479416. Its totient is φ = 11096064.

The previous prime is 29974643. The next prime is 29974687. The reversal of 29974672 is 27647992.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9144576 + 20830096 = 3024^2 + 4564^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173178 + ... + 173350.

Almost surely, 2^29974672 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 29974672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38739708).

29974672 is an abundant number, since it is smaller than the sum of its proper divisors (47504744).

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

29974672 is a wasteful number, since it uses less digits than its factorization.

29974672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its digits is 381024, while the sum is 46.

The square root of 29974672 is about 5474.9129673448. The cubic root of 29974672 is about 310.6357815474.

The spelling of 29974672 in words is "twenty-nine million, nine hundred seventy-four thousand, six hundred seventy-two".