7665672 has 64 divisors (see below), whose sum is σ = 22164480. Its totient is φ = 2164032.

The previous prime is 7665667. The next prime is 7665703. The reversal of 7665672 is 2765667.

It is a super-3 number, since 3×7665672³ (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7665672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17083 + ... + 17525.

It is an arithmetic number, because the mean of its divisors is an integer number (346320).

Almost surely, 2^7665672 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 7665672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11082240).

7665672 is an abundant number, since it is smaller than the sum of its proper divisors (14498808).

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

7665672 is a wasteful number, since it uses less digits than its factorization.

7665672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 7665672 is about 2768.6949994537. The cubic root of 7665672 is about 197.1741955162.

The spelling of 7665672 in words is "seven million, six hundred sixty-five thousand, six hundred seventy-two".