29972124 has 108 divisors (see below), whose sum is σ = 94984344. Its totient is φ = 7898688.

The previous prime is 29972123. The next prime is 29972143. The reversal of 29972124 is 42127992.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (29972123) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 22279 + ... + 23585.

Almost surely, 2^29972124 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 29972124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47492172).

29972124 is an abundant number, since it is smaller than the sum of its proper divisors (65012220).

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

29972124 is a wasteful number, since it uses less digits than its factorization.

29972124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1332 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 29972124 is about 5474.6802646365. The cubic root of 29972124 is about 310.6269794227.

The spelling of 29972124 in words is "twenty-nine million, nine hundred seventy-two thousand, one hundred twenty-four".