75385260 has 144 divisors (see below), whose sum is σ = 242161920. Its totient is φ = 18944640.

The previous prime is 75385253. The next prime is 75385267. The reversal of 75385260 is 6258357.

It is an interprime number because it is at equal distance from previous prime (75385253) and next prime (75385267).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (75385267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542271 + ... + 542409.

It is an arithmetic number, because the mean of its divisors is an integer number (1681680).

Almost surely, 2^75385260 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 75385260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

75385260 is an abundant number, since it is smaller than the sum of its proper divisors (166776660).

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

75385260 is a wasteful number, since it uses less digits than its factorization.

75385260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 75385260 is about 8682.4685429894. The cubic root of 75385260 is about 422.4371905744.

The spelling of 75385260 in words is "seventy-five million, three hundred eighty-five thousand, two hundred sixty".