71825625 has 45 divisors (see below), whose sum is σ = 130801099. Its totient is φ = 37968000.

The previous prime is 71825623. The next prime is 71825639. The reversal of 71825625 is 52652817.

It is a happy number.

The square root of 71825625 is 8475.

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

71825625 is a `hidden beast` number, since 7 + 1 + 8 + 25 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 70207641 + 1617984 = 8379^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 71825625 - 2¹ = 71825623 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71825625.

It is not an unprimeable number, because it can be changed into a prime (71825623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 635569 + ... + 635681.

Almost surely, 2^71825625 is an apocalyptic number.

71825625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

71825625 is the 8475-th square number.

71825625 is the 4238-th centered octagonal number.

It is an amenable number.

71825625 is a deficient number, since it is larger than the sum of its proper divisors (58975474).

71825625 is an equidigital number, since it uses as much as digits as its factorization.

71825625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 121 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The cubic root of 71825625 is about 415.6806462514.

Multiplying 71825625 by its sum of digits (36), we get a square (2585722500 = 50850²).

The spelling of 71825625 in words is "seventy-one million, eight hundred twenty-five thousand, six hundred twenty-five".