7683072 has 88 divisors (see below), whose sum is σ = 21321552. Its totient is φ = 2457600.

The previous prime is 7683047. The next prime is 7683077. The reversal of 7683072 is 2703867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7683077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125922 + ... + 125982.

Almost surely, 2^7683072 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 7683072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10660776).

7683072 is an abundant number, since it is smaller than the sum of its proper divisors (13638480).

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

7683072 is a wasteful number, since it uses less digits than its factorization.

7683072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 7683072 is about 2771.8354929541. The cubic root of 7683072 is about 197.3232687018.

It can be divided in two parts, 768 and 3072, that multiplied together give a square (2359296 = 1536²).

The spelling of 7683072 in words is "seven million, six hundred eighty-three thousand, seventy-two".