75287664 has 80 divisors (see below), whose sum is σ = 219723040. Its totient is φ = 24675840.

The previous prime is 75287657. The next prime is 75287669. The reversal of 75287664 is 46678257.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75287669) 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 15 ways as a sum of consecutive naturals, for example, 24924 + ... + 27780.

It is an arithmetic number, because the mean of its divisors is an integer number (2746538).

Almost surely, 2^75287664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75287664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109861520).

75287664 is an abundant number, since it is smaller than the sum of its proper divisors (144435376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75287664 is a wasteful number, since it uses less digits than its factorization.

75287664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2923 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 75287664 is about 8676.8464317400. The cubic root of 75287664 is about 422.2548119299.

The spelling of 75287664 in words is "seventy-five million, two hundred eighty-seven thousand, six hundred sixty-four".