73785075 has 96 divisors (see below), whose sum is σ = 158323200. Its totient is φ = 29445120.

The previous prime is 73785073. The next prime is 73785121. The reversal of 73785075 is 57058737.

It is not a de Polignac number, because 73785075 - 2¹ = 73785073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73785071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129391 + ... + 129959.

It is an arithmetic number, because the mean of its divisors is an integer number (1649200).

Almost surely, 2^73785075 is an apocalyptic number.

73785075 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

73785075 is an abundant number, since it is smaller than the sum of its proper divisors (84538125).

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

73785075 is a wasteful number, since it uses less digits than its factorization.

73785075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 42.

The square root of 73785075 is about 8589.8239213618. The cubic root of 73785075 is about 419.4267974324.

The spelling of 73785075 in words is "seventy-three million, seven hundred eighty-five thousand, seventy-five".