75729888 has 144 divisors (see below), whose sum is σ = 235282320. Its totient is φ = 22966272.

The previous prime is 75729887. The next prime is 75729943. The reversal of 75729888 is 88892757.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75729881) 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, 422983 + ... + 423161.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 2^75729888 is an apocalyptic number.

75729888 is a gapful number since it is divisible by the number (78) 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 75729888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117641160).

75729888 is an abundant number, since it is smaller than the sum of its proper divisors (159552432).

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

75729888 is a wasteful number, since it uses less digits than its factorization.

75729888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 310 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

The square root of 75729888 is about 8702.2921118519. The cubic root of 75729888 is about 423.0799439801.

The spelling of 75729888 in words is "seventy-five million, seven hundred twenty-nine thousand, eight hundred eighty-eight".