75327 has 16 divisors (see below), whose sum is σ = 122112. Its totient is φ = 40320.

The previous prime is 75323. The next prime is 75329. The reversal of 75327 is 72357.

It is not a de Polignac number, because 75327 - 2² = 75323 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 75297 and 75306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75323) 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, 252 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (7632).

2⁷⁵³²⁷ is an apocalyptic number.

75327 is a deficient number, since it is larger than the sum of its proper divisors (46785).

75327 is a wasteful number, since it uses less digits than its factorization.

75327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238.

The product of its digits is 1470, while the sum is 24.

The square root of 75327 is about 274.4576470059. The cubic root of 75327 is about 42.2328338466.

It can be divided in two parts, 753 and 27, that added together give a triangular number (780 = T₃₉).

The spelling of 75327 in words is "seventy-five thousand, three hundred twenty-seven".