75685920 has 48 divisors (see below), whose sum is σ = 238412160. Its totient is φ = 20182784.

The previous prime is 75685901. The next prime is 75685927. The reversal of 75685920 is 2958657.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (75685927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78360 + ... + 79319.

It is an arithmetic number, because the mean of its divisors is an integer number (4966920).

Almost surely, 2^75685920 is an apocalyptic number.

It is an amenable number.

75685920 is an abundant number, since it is smaller than the sum of its proper divisors (162726240).

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

75685920 is a wasteful number, since it uses less digits than its factorization.

75685920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157697 (or 157689 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 75685920 is about 8699.7655140814. The cubic root of 75685920 is about 422.9980494967.

The spelling of 75685920 in words is "seventy-five million, six hundred eighty-five thousand, nine hundred twenty".