75385000 has 40 divisors (see below), whose sum is σ = 176638770. Its totient is φ = 30152000.

The previous prime is 75384997. The next prime is 75385001. The reversal of 75385000 is 58357.

It can be written as a sum of positive squares in 5 ways, for example, as 2896804 + 72488196 = 1702^2 + 8514^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 75385000.

It is not an unprimeable number, because it can be changed into a prime (75385001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2539 + ... + 12538.

Almost surely, 2^75385000 is an apocalyptic number.

It is an amenable number.

75385000 is an abundant number, since it is smaller than the sum of its proper divisors (101253770).

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

75385000 is a wasteful number, since it uses less digits than its factorization.

75385000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15103 (or 15084 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 75385000 is about 8682.4535702761. The cubic root of 75385000 is about 422.4367049189.

The spelling of 75385000 in words is "seventy-five million, three hundred eighty-five thousand".