74138085 has 96 divisors (see below), whose sum is σ = 159344640. Its totient is φ = 32332608.

The previous prime is 74138033. The next prime is 74138087. The reversal of 74138085 is 58083147.

It is not a de Polignac number, because 74138085 - 2¹⁴ = 74121701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74138087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195426 + ... + 195804.

It is an arithmetic number, because the mean of its divisors is an integer number (1659840).

Almost surely, 2^74138085 is an apocalyptic number.

It is an amenable number.

74138085 is an abundant number, since it is smaller than the sum of its proper divisors (85206555).

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

74138085 is a wasteful number, since it uses less digits than its factorization.

74138085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 74138085 is about 8610.3475539609. The cubic root of 74138085 is about 420.0946215383.

The spelling of 74138085 in words is "seventy-four million, one hundred thirty-eight thousand, eighty-five".