7523538 has 48 divisors (see below), whose sum is σ = 16994208. Its totient is φ = 2217600.

The previous prime is 7523533. The next prime is 7523539. The reversal of 7523538 is 8353257.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (25200) is a multiple of the sum of its prime divisors (300).

It is a junction number, because it is equal to n+sod(n) for n = 7523499 and 7523508.

It is not an unprimeable number, because it can be changed into a prime (7523531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31098 + ... + 31338.

It is an arithmetic number, because the mean of its divisors is an integer number (354046).

Almost surely, 2^7523538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7523538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8497104).

7523538 is an abundant number, since it is smaller than the sum of its proper divisors (9470670).

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

7523538 is a wasteful number, since it uses less digits than its factorization.

7523538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 7523538 is about 2742.9068522281. The cubic root of 7523538 is about 195.9479418874.

The spelling of 7523538 in words is "seven million, five hundred twenty-three thousand, five hundred thirty-eight".