75396 has 24 divisors (see below), whose sum is σ = 180544. Its totient is φ = 24480.

The previous prime is 75391. The next prime is 75401. The reversal of 75396 is 69357.

75396 = T₁₆ + T₁₇ + ... + T₇₆.

It is an interprime number because it is at equal distance from previous prime (75391) and next prime (75401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75391) by changing a digit.

75396 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, 681 + ... + 783.

2⁷⁵³⁹⁶ is an apocalyptic number.

It is an amenable number.

75396 is an abundant number, since it is smaller than the sum of its proper divisors (105148).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90272).

75396 is a wasteful number, since it uses less digits than its factorization.

75396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 169 counting only the distinct ones).

The product of its digits is 5670, while the sum is 30.

The square root of 75396 is about 274.5833206879. The cubic root of 75396 is about 42.2457250906.

The spelling of 75396 in words is "seventy-five thousand, three hundred ninety-six".