75625 has 15 divisors (see below), whose sum is σ = 103873. Its totient is φ = 55000.

The previous prime is 75619. The next prime is 75629. The reversal of 75625 is 52657.

Multipling 75625 by its sum of digits (25), we get a square (1890625 = 1375^{2}).

75625 divided by its sum of digits (25) gives a square (3025 = 55^{2}).

75625 = T_{274} + T_{275}.

It is a happy number.

The square root of 75625 is 275.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 5929 + 69696 = 77^2 + 264^2 .

It is not a de Polignac number, because 75625 - 2^{3} = 75617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

Its product of digits (2100) is a multiple of the sum of its prime factors (42).

75625 is a lucky number.

It is a nialpdrome in base 5.

It is a self number, because there is not a number *n* which added to its sum of digits gives 75625.

It is not an unprimeable number, because it can be changed into a prime (75629) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6870 + ... + 6880.

2^{75625} is an apocalyptic number.

75625 is the 275-th square number.

75625 is the 138-th centered octagonal number.

It is an amenable number.

75625 is a deficient number, since it is larger than the sum of its proper divisors (28248).

75625 is an equidigital number, since it uses as much as digits as its factorization.

75625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 16 counting only the distinct ones).

The product of its digits is 2100, while the sum is 25.

The cubic root of 75625 is about 42.2884527906.

The spelling of 75625 in words is "seventy-five thousand, six hundred twenty-five".

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