75696 has 40 divisors (see below), whose sum is σ = 208320. Its totient is φ = 23616.

The previous prime is 75689. The next prime is 75703. The reversal of 75696 is 69657.

It is an interprime number because it is at equal distance from previous prime (75689) and next prime (75703).

It is a congruent number.

It is an unprimeable number.

75696 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 871 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2⁷⁵⁶⁹⁶ is an apocalyptic number.

75696 is a gapful number since it is divisible by the number (76) 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 75696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104160).

75696 is an abundant number, since it is smaller than the sum of its proper divisors (132624).

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

75696 is a wasteful number, since it uses less digits than its factorization.

75696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 75696 is about 275.1290606243. The cubic root of 75696 is about 42.3016827234.

The spelling of 75696 in words is "seventy-five thousand, six hundred ninety-six".