7852032 has 104 divisors (see below), whose sum is σ = 23590080. Its totient is φ = 2580480.

The previous prime is 7852001. The next prime is 7852037. The reversal of 7852032 is 2302587.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7851987 and 7852005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7852037) 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, 110557 + ... + 110627.

Almost surely, 2^7852032 is an apocalyptic number.

7852032 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 7852032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11795040).

7852032 is an abundant number, since it is smaller than the sum of its proper divisors (15738048).

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

7852032 is an equidigital number, since it uses as much as digits as its factorization.

7852032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7852032 is about 2802.1477477107. The cubic root of 7852032 is about 198.7592519723.

The spelling of 7852032 in words is "seven million, eight hundred fifty-two thousand, thirty-two".