7565625 has 36 divisors (see below), whose sum is σ = 13710060. Its totient is φ = 4020000.

The previous prime is 7565617. The next prime is 7565627. The reversal of 7565625 is 5265657.

It can be written as a sum of positive squares in 6 ways, for example, as 7354944 + 210681 = 2712^2 + 459^2 .

It is not a de Polignac number, because 7565625 - 2³ = 7565617 is a prime.

Its product of digits (63000) is a multiple of the sum of its prime factors (300).

It is a self number, because there is not a number n which added to its sum of digits gives 7565625.

It is not an unprimeable number, because it can be changed into a prime (7565627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27991 + ... + 28259.

It is an arithmetic number, because the mean of its divisors is an integer number (380835).

Almost surely, 2^7565625 is an apocalyptic number.

7565625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7565625 is a deficient number, since it is larger than the sum of its proper divisors (6144435).

7565625 is an equidigital number, since it uses as much as digits as its factorization.

7565625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 277 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 7565625 is about 2750.5681231338. The cubic root of 7565625 is about 196.3126431257.

Subtracting from 7565625 its reverse (5265657), we obtain a cube (2299968 = 132³).

The spelling of 7565625 in words is "seven million, five hundred sixty-five thousand, six hundred twenty-five".