7125 has 16 divisors (see below), whose sum is σ = 12480. Its totient is φ = 3600.

The previous prime is 7121. The next prime is 7127. The reversal of 7125 is 5217.

It is a happy number.

It is not a de Polignac number, because 7125 - 2² = 7121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7121) 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, 366 + ... + 384.

It is an arithmetic number, because the mean of its divisors is an integer number (780).

2⁷¹²⁵ is an apocalyptic number.

7125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7125 is a deficient number, since it is larger than the sum of its proper divisors (5355).

7125 is a wasteful number, since it uses less digits than its factorization.

7125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 27 counting only the distinct ones).

The product of its digits is 70, while the sum is 15.

The square root of 7125 is about 84.4097150807. The cubic root of 7125 is about 19.2425056564.

Adding to 7125 its sum of digits (15), we get a triangular number (7140 = T₁₁₉).

It can be divided in two parts, 712 and 5, that added together give a palindrome (717).

The spelling of 7125 in words is "seven thousand, one hundred twenty-five".