765252 has 36 divisors (see below), whose sum is σ = 2003820. Its totient is φ = 245952.

The previous prime is 765251. The next prime is 765257. The reversal of 765252 is 252567.

765252 is a `hidden beast` number, since 7 + 652 + 5 + 2 = 666.

765252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 617796 + 147456 = 786^2 + 384^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×765252² = 1171221247008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 678 + ... + 1410.

2⁷⁶⁵²⁵² 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 765252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001910).

765252 is an abundant number, since it is smaller than the sum of its proper divisors (1238568).

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

765252 is a wasteful number, since it uses less digits than its factorization.

765252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 767 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 765252 is about 874.7868311766. The cubic root of 765252 is about 91.4677840540.

The spelling of 765252 in words is "seven hundred sixty-five thousand, two hundred fifty-two".