75664001 has 16 divisors (see below), whose sum is σ = 89157120. Its totient is φ = 62856000.

The previous prime is 75663953. The next prime is 75664007. The reversal of 75664001 is 10046657.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-75664001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75664007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100376 + ... + 101126.

It is an arithmetic number, because the mean of its divisors is an integer number (5572320).

Almost surely, 2^75664001 is an apocalyptic number.

It is an amenable number.

75664001 is a deficient number, since it is larger than the sum of its proper divisors (13493119).

75664001 is a wasteful number, since it uses less digits than its factorization.

75664001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 75664001 is about 8698.5056762642. The cubic root of 75664001 is about 422.9572114763.

The spelling of 75664001 in words is "seventy-five million, six hundred sixty-four thousand, one".