29752920 has 96 divisors (see below), whose sum is σ = 100311120. Its totient is φ = 7931520.

The previous prime is 29752903. The next prime is 29752937. The reversal of 29752920 is 2925792.

It is an interprime number because it is at equal distance from previous prime (29752903) and next prime (29752937).

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8190 + ... + 11250.

Almost surely, 2^29752920 is an apocalyptic number.

29752920 is a gapful number since it is divisible by the number (20) 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 29752920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50155560).

29752920 is an abundant number, since it is smaller than the sum of its proper divisors (70558200).

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

29752920 is a wasteful number, since it uses less digits than its factorization.

29752920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 29752920 is about 5454.6237267111. The cubic root of 29752920 is about 309.8678590474.

The spelling of 29752920 in words is "twenty-nine million, seven hundred fifty-two thousand, nine hundred twenty".