75638525 has 54 divisors (see below), whose sum is σ = 108779310. Its totient is φ = 52093440.

The previous prime is 75638503. The next prime is 75638551. The reversal of 75638525 is 52583657.

It can be written as a sum of positive squares in 9 ways, for example, as 3829849 + 71808676 = 1957^2 + 8474^2 .

It is not a de Polignac number, because 75638525 - 2⁶ = 75638461 is a prime.

Its product of digits (252000) is a multiple of the sum of its prime divisors (70).

It is a Curzon number.

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 2608211 + ... + 2608239.

Almost surely, 2^75638525 is an apocalyptic number.

It is an amenable number.

75638525 is a deficient number, since it is larger than the sum of its proper divisors (33140785).

75638525 is a wasteful number, since it uses less digits than its factorization.

75638525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 70 counting only the distinct ones).

The product of its digits is 252000, while the sum is 41.

The square root of 75638525 is about 8697.0411635222. The cubic root of 75638525 is about 422.9097363787.

The spelling of 75638525 in words is "seventy-five million, six hundred thirty-eight thousand, five hundred twenty-five".