7531632 has 60 divisors (see below), whose sum is σ = 21265504. Its totient is φ = 2488320.

The previous prime is 7531597. The next prime is 7531637. The reversal of 7531632 is 2361357.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7531596 and 7531605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7531637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27657 + ... + 27927.

Almost surely, 2^7531632 is an apocalyptic number.

7531632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7531632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10632752).

7531632 is an abundant number, since it is smaller than the sum of its proper divisors (13733872).

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

7531632 is a wasteful number, since it uses less digits than its factorization.

7531632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 469 counting only the distinct ones).

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

The square root of 7531632 is about 2744.3818976229. The cubic root of 7531632 is about 196.0181851793.

Adding to 7531632 its reverse (2361357), we get a palindrome (9892989).

The spelling of 7531632 in words is "seven million, five hundred thirty-one thousand, six hundred thirty-two".