75686688 has 144 divisors (see below), whose sum is σ = 268422336. Its totient is φ = 19653120.

The previous prime is 75686683. The next prime is 75686693. The reversal of 75686688 is 88668657.

It is an interprime number because it is at equal distance from previous prime (75686683) and next prime (75686693).

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

It is not an unprimeable number, because it can be changed into a prime (75686683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20470 + ... + 23882.

It is an arithmetic number, because the mean of its divisors is an integer number (1864044).

Almost surely, 2^75686688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75686688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134211168).

75686688 is an abundant number, since it is smaller than the sum of its proper divisors (192735648).

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

75686688 is a wasteful number, since it uses less digits than its factorization.

75686688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447 (or 3436 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 75686688 is about 8699.8096530901. The cubic root of 75686688 is about 422.9994802401. Note that the first 3 decimals are identical.

The spelling of 75686688 in words is "seventy-five million, six hundred eighty-six thousand, six hundred eighty-eight".