7563872 has 48 divisors (see below), whose sum is σ = 15966720. Its totient is φ = 3518592.

The previous prime is 7563841. The next prime is 7563883. The reversal of 7563872 is 2783657.

It is a happy number.

It is a d-powerful number, because it can be written as 7³ + 5⁷ + 6⁸ + 3³ + 8⁵ + 7⁸ + 2¹³ .

Its product of digits (70560) is a multiple of the sum of its prime factors (315).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31529 + ... + 31767.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 2^7563872 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 7563872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983360).

7563872 is an abundant number, since it is smaller than the sum of its proper divisors (8402848).

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

7563872 is a wasteful number, since it uses less digits than its factorization.

7563872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 307 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 7563872 is about 2750.2494432324. The cubic root of 7563872 is about 196.2974796882.

The spelling of 7563872 in words is "seven million, five hundred sixty-three thousand, eight hundred seventy-two".