29972072 has 32 divisors (see below), whose sum is σ = 62164200. Its totient is φ = 13457664.

The previous prime is 29972069. The next prime is 29972087. The reversal of 29972072 is 27027992.

It can be written as a sum of positive squares in 4 ways, for example, as 27102436 + 2869636 = 5206^2 + 1694^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47 + ... + 7742.

Almost surely, 2^29972072 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 29972072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31082100).

29972072 is an abundant number, since it is smaller than the sum of its proper divisors (32192128).

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

29972072 is a wasteful number, since it uses less digits than its factorization.

29972072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7845 (or 7841 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 29972072 is about 5474.6755154986. The cubic root of 29972072 is about 310.6267997823.

The spelling of 29972072 in words is "twenty-nine million, nine hundred seventy-two thousand, seventy-two".