7687872 has 70 divisors (see below), whose sum is σ = 22804628. Its totient is φ = 2560896.

The previous prime is 7687861. The next prime is 7687873. The reversal of 7687872 is 2787867.

It is a super-4 number, since 4×7687872⁴ (a number of 29 digits) contains 4444 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7687873) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 4443 + ... + 5925.

Almost surely, 2^7687872 is an apocalyptic number.

7687872 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 7687872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11402314).

7687872 is an abundant number, since it is smaller than the sum of its proper divisors (15116756).

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

7687872 is a wasteful number, since it uses less digits than its factorization.

7687872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1488 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 7687872 is about 2772.7012100116. The cubic root of 7687872 is about 197.3643527246.

The spelling of 7687872 in words is "seven million, six hundred eighty-seven thousand, eight hundred seventy-two".