29972418 has 48 divisors (see below), whose sum is σ = 70517664. Its totient is φ = 8467200.

The previous prime is 29972389. The next prime is 29972477. The reversal of 29972418 is 81427992.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 29972418.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27993 + ... + 29043.

It is an arithmetic number, because the mean of its divisors is an integer number (1469118).

Almost surely, 2^29972418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29972418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35258832).

29972418 is an abundant number, since it is smaller than the sum of its proper divisors (40545246).

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

29972418 is a wasteful number, since it uses less digits than its factorization.

29972418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1160 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 29972418 is about 5474.7071154538. The cubic root of 29972418 is about 310.6279950779.

The spelling of 29972418 in words is "twenty-nine million, nine hundred seventy-two thousand, four hundred eighteen".