7525632 has 72 divisors (see below), whose sum is σ = 20603520. Its totient is φ = 2437120.

The previous prime is 7525613. The next prime is 7525633. The reversal of 7525632 is 2365257.

It is a d-powerful number, because it can be written as 7⁸ + 5² + 2 + 5⁶ + 6⁸ + 3³ + 2¹⁶ .

It is a self number, because there is not a number n which added to its sum of digits gives 7525632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7525633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31369 + ... + 31607.

It is an arithmetic number, because the mean of its divisors is an integer number (286160).

Almost surely, 2^7525632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7525632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10301760).

7525632 is an abundant number, since it is smaller than the sum of its proper divisors (13077888).

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

7525632 is a wasteful number, since it uses less digits than its factorization.

7525632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 285 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 7525632 is about 2743.2885375038. The cubic root of 7525632 is about 195.9661193693.

The spelling of 7525632 in words is "seven million, five hundred twenty-five thousand, six hundred thirty-two".