73125 has 30 divisors (see below), whose sum is σ = 142142. Its totient is φ = 36000.

The previous prime is 73121. The next prime is 73127. The reversal of 73125 is 52137.

73125 = 40² + 41² + ... + 65².

It can be written as a sum of positive squares in 5 ways, for example, as 42849 + 30276 = 207^2 + 174^2 .

It is not a de Polignac number, because 73125 - 2² = 73121 is a prime.

Its product of digits (210) is a multiple of the sum of its prime divisors (21).

It is a nialpdrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 73098 and 73107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73121) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5619 + ... + 5631.

73125 is a Friedman number, since it can be written as 75^2*13, using all its digits and the basic arithmetic operations.

2⁷³¹²⁵ is an apocalyptic number.

73125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

73125 is a deficient number, since it is larger than the sum of its proper divisors (69017).

73125 is a wasteful number, since it uses less digits than its factorization.

73125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 21 counting only the distinct ones).

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

The square root of 73125 is about 270.4163456598. The cubic root of 73125 is about 41.8172330368.

The spelling of 73125 in words is "seventy-three thousand, one hundred twenty-five".