7675872 has 48 divisors (see below), whose sum is σ = 20703312. Its totient is φ = 2488320.

The previous prime is 7675853. The next prime is 7675873. The reversal of 7675872 is 2785767.

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 7⁴ + 6⁸ + 7⁶ + 5⁷ + 8³ + 7⁸ + 2¹⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7675873) 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, 2472 + ... + 4632.

It is an arithmetic number, because the mean of its divisors is an integer number (431319).

Almost surely, 2^7675872 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 7675872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10351656).

7675872 is an abundant number, since it is smaller than the sum of its proper divisors (13027440).

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

7675872 is a wasteful number, since it uses less digits than its factorization.

7675872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2203 counting only the distinct ones).

The product of its digits is 164640, while the sum is 42.

The square root of 7675872 is about 2770.5364101560. The cubic root of 7675872 is about 197.2616105714.

The spelling of 7675872 in words is "seven million, six hundred seventy-five thousand, eight hundred seventy-two".