7945672 has 64 divisors (see below), whose sum is σ = 18432000. Its totient is φ = 3136320.

The previous prime is 7945661. The next prime is 7945687. The reversal of 7945672 is 2765497.

7945672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a d-powerful number, because it can be written as 7 + 9⁷ + 4¹⁰ + 5³ + 6² + 7⁵ + 2²¹ .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39829 + ... + 40027.

It is an arithmetic number, because the mean of its divisors is an integer number (288000).

Almost surely, 2^7945672 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 7945672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9216000).

7945672 is an abundant number, since it is smaller than the sum of its proper divisors (10486328).

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

7945672 is a wasteful number, since it uses less digits than its factorization.

7945672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its digits is 105840, while the sum is 40.

The square root of 7945672 is about 2818.8068397817. The cubic root of 7945672 is about 199.5462379452.

The spelling of 7945672 in words is "seven million, nine hundred forty-five thousand, six hundred seventy-two".