7513632 has 72 divisors (see below), whose sum is σ = 24425856. Its totient is φ = 2146176.

The previous prime is 7513613. The next prime is 7513633. The reversal of 7513632 is 2363157.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 7513596 and 7513605.

It is not an unprimeable number, because it can be changed into a prime (7513633) 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, 153 + ... + 3879.

It is an arithmetic number, because the mean of its divisors is an integer number (339248).

Almost surely, 2^7513632 is an apocalyptic number.

7513632 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 7513632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12212928).

7513632 is an abundant number, since it is smaller than the sum of its proper divisors (16912224).

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

7513632 is a wasteful number, since it uses less digits than its factorization.

7513632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 3739 counting only the distinct ones).

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

The square root of 7513632 is about 2741.1005089197. The cubic root of 7513632 is about 195.8619046689.

Adding to 7513632 its reverse (2363157), we get a palindrome (9876789).

The spelling of 7513632 in words is "seven million, five hundred thirteen thousand, six hundred thirty-two".