7528832 has 32 divisors (see below), whose sum is σ = 15147000. Its totient is φ = 3727360.

The previous prime is 7528817. The next prime is 7528837. The reversal of 7528832 is 2388257.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×7528832² = 113366622568448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7528792 and 7528801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7528837) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16544 + ... + 16992.

Almost surely, 2^7528832 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 7528832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7573500).

7528832 is an abundant number, since it is smaller than the sum of its proper divisors (7618168).

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

7528832 is a wasteful number, since it uses less digits than its factorization.

7528832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 582 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 7528832 is about 2743.8717171180. The cubic root of 7528832 is about 195.9938912437.

The spelling of 7528832 in words is "seven million, five hundred twenty-eight thousand, eight hundred thirty-two".