75725 has 12 divisors (see below), whose sum is σ = 101556. Its totient is φ = 55680.

The previous prime is 75721. The next prime is 75731. The reversal of 75725 is 52757.

75725 = T₆₅ + T₆₆ + ... + T₈₉.

It can be written as a sum of positive squares in 6 ways, for example, as 17161 + 58564 = 131^2 + 242^2 .

It is not a de Polignac number, because 75725 - 2² = 75721 is a prime.

It is a Curzon number.

It is a plaindrome in base 9 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 75694 and 75703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209 + ... + 441.

It is an arithmetic number, because the mean of its divisors is an integer number (8463).

2⁷⁵⁷²⁵ is an apocalyptic number.

It is an amenable number.

75725 is a deficient number, since it is larger than the sum of its proper divisors (25831).

75725 is a wasteful number, since it uses less digits than its factorization.

75725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 251 counting only the distinct ones).

The product of its digits is 2450, while the sum is 26.

The square root of 75725 is about 275.1817581163. The cubic root of 75725 is about 42.3070841193.

The spelling of 75725 in words is "seventy-five thousand, seven hundred twenty-five".