765672 has 32 divisors (see below), whose sum is σ = 1949280. Its totient is φ = 250560.

The previous prime is 765659. The next prime is 765673. The reversal of 765672 is 276567.

It is a super-3 number, since 3×765672³ = 1346633925866233344, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (765673) by changing a digit.

765672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1203 + ... + 1725.

It is an arithmetic number, because the mean of its divisors is an integer number (60915).

2⁷⁶⁵⁶⁷² 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 765672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974640).

765672 is an abundant number, since it is smaller than the sum of its proper divisors (1183608).

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

765672 is a wasteful number, since it uses less digits than its factorization.

765672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 589 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 765672 is about 875.0268567307. The cubic root of 765672 is about 91.4845146836.

The spelling of 765672 in words is "seven hundred sixty-five thousand, six hundred seventy-two".