7643712 has 56 divisors (see below), whose sum is σ = 20738592. Its totient is φ = 2483200.

The previous prime is 7643707. The next prime is 7643717. The reversal of 7643712 is 2173467.

It is an interprime number because it is at equal distance from previous prime (7643707) and next prime (7643717).

It is a self number, because there is not a number n which added to its sum of digits gives 7643712.

It is not an unprimeable number, because it can be changed into a prime (7643717) 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, 7387 + ... + 8357.

It is an arithmetic number, because the mean of its divisors is an integer number (370332).

Almost surely, 2^7643712 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 7643712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10369296).

7643712 is an abundant number, since it is smaller than the sum of its proper divisors (13094880).

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

7643712 is a wasteful number, since it uses less digits than its factorization.

7643712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1017 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 7643712 is about 2764.7263879089. The cubic root of 7643712 is about 196.9857325165.

The spelling of 7643712 in words is "seven million, six hundred forty-three thousand, seven hundred twelve".