71325 has 18 divisors (see below), whose sum is σ = 128154. Its totient is φ = 37920.

The previous prime is 71317. The next prime is 71327. The reversal of 71325 is 52317.

It can be written as a sum of positive squares in 3 ways, for example, as 36 + 71289 = 6^2 + 267^2 .

It is not a de Polignac number, because 71325 - 2³ = 71317 is a prime.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 71298 and 71307.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71325.

It is not an unprimeable number, because it can be changed into a prime (71327) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67 + ... + 383.

2⁷¹³²⁵ is an apocalyptic number.

71325 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

71325 is a deficient number, since it is larger than the sum of its proper divisors (56829).

71325 is a wasteful number, since it uses less digits than its factorization.

71325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 325 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 71325 is about 267.0674072215. The cubic root of 71325 is about 41.4712628264.

The spelling of 71325 in words is "seventy-one thousand, three hundred twenty-five".