7965672 has 96 divisors (see below), whose sum is σ = 23684640. Its totient is φ = 2217600.

The previous prime is 7965653. The next prime is 7965677. The reversal of 7965672 is 2765697.

It is a happy number.

It is a super-3 number, since 3×7965672³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (7965677) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 37647 + ... + 37857.

It is an arithmetic number, because the mean of its divisors is an integer number (246715).

Almost surely, 2^7965672 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 7965672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11842320).

7965672 is an abundant number, since it is smaller than the sum of its proper divisors (15718968).

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

7965672 is a wasteful number, since it uses less digits than its factorization.

7965672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its digits is 158760, while the sum is 42.

The square root of 7965672 is about 2822.3522104798. The cubic root of 7965672 is about 199.7135231844.

The spelling of 7965672 in words is "seven million, nine hundred sixty-five thousand, six hundred seventy-two".