7563132 has 72 divisors (see below), whose sum is σ = 20547072. Its totient is φ = 2430000.

The previous prime is 7563107. The next prime is 7563139. The reversal of 7563132 is 2313657.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 7563096 and 7563105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7563139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30007 + ... + 30257.

It is an arithmetic number, because the mean of its divisors is an integer number (285376).

Almost surely, 2^7563132 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 7563132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10273536).

7563132 is an abundant number, since it is smaller than the sum of its proper divisors (12983940).

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

7563132 is a wasteful number, since it uses less digits than its factorization.

7563132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 7563132 is about 2750.1149066903. The cubic root of 7563132 is about 196.2910779902.

Adding to 7563132 its reverse (2313657), we get a palindrome (9876789).

The spelling of 7563132 in words is "seven million, five hundred sixty-three thousand, one hundred thirty-two".