75933696 has 96 divisors (see below), whose sum is σ = 214643520. Its totient is φ = 23789568.

The previous prime is 75933677. The next prime is 75933703. The reversal of 75933696 is 69633957.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 7 ways as a sum of consecutive naturals, for example, 104085 + ... + 104811.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 2^75933696 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 75933696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107321760).

75933696 is an abundant number, since it is smaller than the sum of its proper divisors (138709824).

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

75933696 is a wasteful number, since it uses less digits than its factorization.

75933696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 749 counting only the distinct ones).

The product of its digits is 918540, while the sum is 48.

The square root of 75933696 is about 8713.9942621051. The cubic root of 75933696 is about 423.4591418640.

The spelling of 75933696 in words is "seventy-five million, nine hundred thirty-three thousand, six hundred ninety-six".