7536032 has 48 divisors (see below), whose sum is σ = 17962560. Its totient is φ = 3038208.

The previous prime is 7536031. The next prime is 7536059. The reversal of 7536032 is 2306357.

It is a junction number, because it is equal to n+sod(n) for n = 7535992 and 7536010.

It is not an unprimeable number, because it can be changed into a prime (7536031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2819 + ... + 4797.

It is an arithmetic number, because the mean of its divisors is an integer number (374220).

Almost surely, 2^7536032 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 7536032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8981280).

7536032 is an abundant number, since it is smaller than the sum of its proper divisors (10426528).

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

7536032 is a wasteful number, since it uses less digits than its factorization.

7536032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 7536032 is about 2745.1834182801. The cubic root of 7536032 is about 196.0563492016.

The spelling of 7536032 in words is "seven million, five hundred thirty-six thousand, thirty-two".