7287525 has 54 divisors (see below), whose sum is σ = 15206802. Its totient is φ = 3326400.

The previous prime is 7287499. The next prime is 7287547. The reversal of 7287525 is 5257827.

7287525 = 357² + 358² + ... + 406².

It can be written as a sum of positive squares in 3 ways, for example, as 1147041 + 6140484 = 1071^2 + 2478^2 .

It is not a de Polignac number, because 7287525 - 2⁵ = 7287493 is a prime.

7287525 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 7287525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10695 + ... + 11355.

Almost surely, 2^7287525 is an apocalyptic number.

7287525 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7287525 is an abundant number, since it is smaller than the sum of its proper divisors (7919277).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7287525 is a wasteful number, since it uses less digits than its factorization.

7287525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 676 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 7287525 is about 2699.5416277583. The cubic root of 7287525 is about 193.8771763028.

It can be divided in two parts, 72875 and 25, that added together give a square (72900 = 270²).

The spelling of 7287525 in words is "seven million, two hundred eighty-seven thousand, five hundred twenty-five".