73525 has 12 divisors (see below), whose sum is σ = 97092. Its totient is φ = 55040.

The previous prime is 73523. The next prime is 73529. The reversal of 73525 is 52537.

73525 = 10² + 11² + ... + 60².

It can be written as a sum of positive squares in 6 ways, for example, as 4356 + 69169 = 66^2 + 263^2 .

It is not a de Polignac number, because 73525 - 2¹ = 73523 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 73496 and 73505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73523) 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, 339 + ... + 511.

It is an arithmetic number, because the mean of its divisors is an integer number (8091).

2⁷³⁵²⁵ is an apocalyptic number.

It is an amenable number.

73525 is a deficient number, since it is larger than the sum of its proper divisors (23567).

73525 is a wasteful number, since it uses less digits than its factorization.

73525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 195 counting only the distinct ones).

The product of its digits is 1050, while the sum is 22.

The square root of 73525 is about 271.1549372591. The cubic root of 73525 is about 41.8933423765.

The spelling of 73525 in words is "seventy-three thousand, five hundred twenty-five".