75664251 has 48 divisors (see below), whose sum is σ = 125492640. Its totient is φ = 43545600.

The previous prime is 75664249. The next prime is 75664279. The reversal of 75664251 is 15246657.

It is a happy number.

75664251 is a `hidden beast` number, since 7 + 5 + 6 + 642 + 5 + 1 = 666.

It is not a de Polignac number, because 75664251 - 2¹ = 75664249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75664241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 224355 + ... + 224691.

It is an arithmetic number, because the mean of its divisors is an integer number (2614430).

Almost surely, 2^75664251 is an apocalyptic number.

75664251 is a deficient number, since it is larger than the sum of its proper divisors (49828389).

75664251 is a wasteful number, since it uses less digits than its factorization.

75664251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 473 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 75664251 is about 8698.5200465367. The cubic root of 75664251 is about 422.9576773041.

The spelling of 75664251 in words is "seventy-five million, six hundred sixty-four thousand, two hundred fifty-one".