75664512 has 192 divisors, whose sum is σ = 271776960. Its totient is φ = 19630080.

The previous prime is 75664499. The next prime is 75664529. The reversal of 75664512 is 21546657.

It is a happy number.

75664512 is a `hidden beast` number, since 7 + 5 + 6 + 645 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88278 + ... + 89130.

It is an arithmetic number, because the mean of its divisors is an integer number (1415505).

Almost surely, 2^75664512 is an apocalyptic number.

75664512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75664512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135888480).

75664512 is an abundant number, since it is smaller than the sum of its proper divisors (196112448).

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

75664512 is a wasteful number, since it uses less digits than its factorization.

75664512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 876 counting only the distinct ones).

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

The square root of 75664512 is about 8698.5350490758. The cubic root of 75664512 is about 422.9581636272.

It can be divided in two parts, 756645 and 12, that added together give a palindrome (756657).

The spelling of 75664512 in words is "seventy-five million, six hundred sixty-four thousand, five hundred twelve".