7538112 has 84 divisors (see below), whose sum is σ = 22585680. Its totient is φ = 2399232.

The previous prime is 7538099. The next prime is 7538147. The reversal of 7538112 is 2118357.

7538112 = T₄₅₃ + T₄₅₄ + ... + T₅₁₆.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12964 + ... + 13532.

Almost surely, 2^7538112 is an apocalyptic number.

7538112 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 7538112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11292840).

7538112 is an abundant number, since it is smaller than the sum of its proper divisors (15047568).

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

7538112 is a wasteful number, since it uses less digits than its factorization.

7538112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 597 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 7538112 is about 2745.5622375025. The cubic root of 7538112 is about 196.0743852049.

The spelling of 7538112 in words is "seven million, five hundred thirty-eight thousand, one hundred twelve".