765072 has 160 divisors (see below), whose sum is σ = 2856960. Its totient is φ = 190080.

The previous prime is 765059. The next prime is 765091. The reversal of 765072 is 270567.

765072 is a `hidden beast` number, since 7 + 650 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

765072 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 31 ways as a sum of consecutive naturals, for example, 33253 + ... + 33275.

It is an arithmetic number, because the mean of its divisors is an integer number (17856).

2⁷⁶⁵⁰⁷² is an apocalyptic number.

765072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 765072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428480).

765072 is an abundant number, since it is smaller than the sum of its proper divisors (2091888).

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

765072 is a wasteful number, since it uses less digits than its factorization.

765072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 765072 is about 874.6839429188. The cubic root of 765072 is about 91.4606119102.

The spelling of 765072 in words is "seven hundred sixty-five thousand, seventy-two".