75821325 has 48 divisors (see below), whose sum is σ = 130616640. Its totient is φ = 38776320.

The previous prime is 75821299. The next prime is 75821393. The reversal of 75821325 is 52312857.

75821325 = 336² + 337² + ... + 642².

It is not a de Polignac number, because 75821325 - 2⁸ = 75821069 is a prime.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246822 + ... + 247128.

It is an arithmetic number, because the mean of its divisors is an integer number (2721180).

Almost surely, 2^75821325 is an apocalyptic number.

75821325 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

75821325 is a deficient number, since it is larger than the sum of its proper divisors (54795315).

75821325 is a wasteful number, since it uses less digits than its factorization.

75821325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 441 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 75821325 is about 8707.5441428683. The cubic root of 75821325 is about 423.2501524349.

The spelling of 75821325 in words is "seventy-five million, eight hundred twenty-one thousand, three hundred twenty-five".