75705138 has 48 divisors (see below), whose sum is σ = 174339360. Its totient is φ = 24350256.

The previous prime is 75705137. The next prime is 75705143. The reversal of 75705138 is 83150757.

75705138 is a `hidden beast` number, since 7 + 570 + 51 + 38 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (75705137) 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, 44581 + ... + 46247.

It is an arithmetic number, because the mean of its divisors is an integer number (3632070).

Almost surely, 2^75705138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75705138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87169680).

75705138 is an abundant number, since it is smaller than the sum of its proper divisors (98634222).

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

75705138 is a wasteful number, since it uses less digits than its factorization.

75705138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 75705138 is about 8700.8699565043. The cubic root of 75705138 is about 423.0338487073.

The spelling of 75705138 in words is "seventy-five million, seven hundred five thousand, one hundred thirty-eight".