75684257 has 8 divisors (see below), whose sum is σ = 84485280. Its totient is φ = 67203360.

The previous prime is 75684251. The next prime is 75684263. The reversal of 75684257 is 75248657.

It is an interprime number because it is at equal distance from previous prime (75684251) and next prime (75684263).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 75684257 - 2⁸ = 75684001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75684251) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 79532 + ... + 80477.

It is an arithmetic number, because the mean of its divisors is an integer number (10560660).

Almost surely, 2^75684257 is an apocalyptic number.

It is an amenable number.

75684257 is a deficient number, since it is larger than the sum of its proper divisors (8801023).

75684257 is a wasteful number, since it uses less digits than its factorization.

75684257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160063.

The product of its digits is 470400, while the sum is 44.

The square root of 75684257 is about 8699.6699362677. The cubic root of 75684257 is about 422.9949513823.

Subtracting from 75684257 its reverse (75248657), we obtain a square (435600 = 660²).

It can be divided in two parts, 7568 and 4257, that multiplied together give a square (32216976 = 5676²).

The spelling of 75684257 in words is "seventy-five million, six hundred eighty-four thousand, two hundred fifty-seven".