29752080 has 80 divisors (see below), whose sum is σ = 94011840. Its totient is φ = 7780864.

The previous prime is 29752069. The next prime is 29752117. The reversal of 29752080 is 8025792.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 11551 + ... + 13889.

It is an arithmetic number, because the mean of its divisors is an integer number (1175148).

Almost surely, 2^29752080 is an apocalyptic number.

29752080 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 29752080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47005920).

29752080 is an abundant number, since it is smaller than the sum of its proper divisors (64259760).

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

29752080 is a wasteful number, since it uses less digits than its factorization.

29752080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 29752080 is about 5454.5467272726. The cubic root of 29752080 is about 309.8649429028.

The spelling of 29752080 in words is "twenty-nine million, seven hundred fifty-two thousand, eighty".