75643968 has 112 divisors (see below), whose sum is σ = 210677760. Its totient is φ = 23923200.

The previous prime is 75643963. The next prime is 75643969. The reversal of 75643968 is 86934657.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (75643963) 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, 422503 + ... + 422681.

Almost surely, 2^75643968 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 75643968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105338880).

75643968 is an abundant number, since it is smaller than the sum of its proper divisors (135033792).

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

75643968 is a wasteful number, since it uses less digits than its factorization.

75643968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 75643968 is about 8697.3540804086. The cubic root of 75643968 is about 422.9198804267.

The spelling of 75643968 in words is "seventy-five million, six hundred forty-three thousand, nine hundred sixty-eight".