29118672 has 120 divisors (see below), whose sum is σ = 91922688. Its totient is φ = 8524800.

The previous prime is 29118647. The next prime is 29118673. The reversal of 29118672 is 27681192.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29118673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48808 + ... + 49400.

Almost surely, 2^29118672 is an apocalyptic number.

29118672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29118672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45961344).

29118672 is an abundant number, since it is smaller than the sum of its proper divisors (62804016).

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

29118672 is a wasteful number, since it uses less digits than its factorization.

29118672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 640 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 29118672 is about 5396.1719765033. The cubic root of 29118672 is about 307.6501903634.

The spelling of 29118672 in words is "twenty-nine million, one hundred eighteen thousand, six hundred seventy-two".