711252 has 36 divisors (see below), whose sum is σ = 1878240. Its totient is φ = 226512.

The previous prime is 711223. The next prime is 711259. The reversal of 711252 is 252117.

711252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (711259) by changing a digit.

711252 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 11 ways as a sum of consecutive naturals, for example, 399 + ... + 1257.

2⁷¹¹²⁵² 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 711252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939120).

711252 is an abundant number, since it is smaller than the sum of its proper divisors (1166988).

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

711252 is a wasteful number, since it uses less digits than its factorization.

711252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 887 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 711252 is about 843.3575754091. The cubic root of 711252 is about 89.2636210174.

Adding to 711252 its reverse (252117), we get a palindrome (963369).

The spelling of 711252 in words is "seven hundred eleven thousand, two hundred fifty-two".