73785825 has 36 divisors (see below), whose sum is σ = 132675660. Its totient is φ = 39198720.

The previous prime is 73785793. The next prime is 73785839. The reversal of 73785825 is 52858737.

It can be written as a sum of positive squares in 6 ways, for example, as 17715681 + 56070144 = 4209^2 + 7488^2 .

It is not a de Polignac number, because 73785825 - 2⁵ = 73785793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 78961 + ... + 79889.

It is an arithmetic number, because the mean of its divisors is an integer number (3685435).

Almost surely, 2^73785825 is an apocalyptic number.

73785825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

73785825 is a deficient number, since it is larger than the sum of its proper divisors (58889835).

73785825 is a wasteful number, since it uses less digits than its factorization.

73785825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1290 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 73785825 is about 8589.8675775590. The cubic root of 73785825 is about 419.4282185375.

It can be divided in two parts, 7378 and 5825, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 73785825 in words is "seventy-three million, seven hundred eighty-five thousand, eight hundred twenty-five".