7657672 has 32 divisors (see below), whose sum is σ = 15785280. Its totient is φ = 3453760.

The previous prime is 7657613. The next prime is 7657679. The reversal of 7657672 is 2767567.

7657672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (7657679) 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 7 ways as a sum of consecutive naturals, for example, 14973 + ... + 15475.

It is an arithmetic number, because the mean of its divisors is an integer number (493290).

Almost surely, 2^7657672 is an apocalyptic number.

7657672 is the 1384-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7657672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7892640).

7657672 is an abundant number, since it is smaller than the sum of its proper divisors (8127608).

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

7657672 is a wasteful number, since it uses less digits than its factorization.

7657672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 689 counting only the distinct ones).

The product of its digits is 123480, while the sum is 40.

The square root of 7657672 is about 2767.2498983648. The cubic root of 7657672 is about 197.1055804136.

The spelling of 7657672 in words is "seven million, six hundred fifty-seven thousand, six hundred seventy-two".