29972538 has 64 divisors (see below), whose sum is σ = 70963200. Its totient is φ = 9350640.

The previous prime is 29972497. The next prime is 29972539. The reversal of 29972538 is 83527992.

29972538 is a `hidden beast` number, since 29 + 97 + 2 + 538 = 666.

It is a super-2 number, since 2×29972538² = 1796706068322888, which contains 22 as substring.

Its product of digits (272160) is a multiple of the sum of its prime divisors (378).

It is a junction number, because it is equal to n+sod(n) for n = 29972493 and 29972502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29972539) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134295 + ... + 134517.

It is an arithmetic number, because the mean of its divisors is an integer number (1108800).

Almost surely, 2^29972538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29972538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35481600).

29972538 is an abundant number, since it is smaller than the sum of its proper divisors (40990662).

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

29972538 is a wasteful number, since it uses less digits than its factorization.

29972538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 29972538 is about 5474.7180749332. The cubic root of 29972538 is about 310.6284096292.

The spelling of 29972538 in words is "twenty-nine million, nine hundred seventy-two thousand, five hundred thirty-eight".