29820972 has 48 divisors (see below), whose sum is σ = 73382400. Its totient is φ = 9406848.

The previous prime is 29820953. The next prime is 29820979. The reversal of 29820972 is 27902892.

It is a super-4 number, since 4×29820972⁴ (a number of 31 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29820972.

It is not an unprimeable number, because it can be changed into a prime (29820979) 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, 27904 + ... + 28952.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 2^29820972 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 29820972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36691200).

29820972 is an abundant number, since it is smaller than the sum of its proper divisors (43561428).

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

29820972 is a wasteful number, since it uses less digits than its factorization.

29820972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 29820972 is about 5460.8581743166. The cubic root of 29820972 is about 310.1039263068.

The spelling of 29820972 in words is "twenty-nine million, eight hundred twenty thousand, nine hundred seventy-two".