75336 has 32 divisors (see below), whose sum is σ = 195360. Its totient is φ = 24192.

The previous prime is 75329. The next prime is 75337. The reversal of 75336 is 63357.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 7⁵ + 5⁵ + 3⁷ + 3⁸ + 6⁶ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75336.

It is not an unprimeable number, because it can be changed into a prime (75337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 996 + ... + 1068.

It is an arithmetic number, because the mean of its divisors is an integer number (6105).

2⁷⁵³³⁶ 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 75336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97680).

75336 is an abundant number, since it is smaller than the sum of its proper divisors (120024).

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

75336 is a wasteful number, since it uses less digits than its factorization.

75336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 121 counting only the distinct ones).

The product of its digits is 1890, while the sum is 24.

The square root of 75336 is about 274.4740424885. The cubic root of 75336 is about 42.2345157595.

It can be divided in two parts, 75 and 336, that multiplied together give a triangular number (25200 = T₂₂₄).

The spelling of 75336 in words is "seventy-five thousand, three hundred thirty-six".