711072 has 48 divisors (see below), whose sum is σ = 2076480. Its totient is φ = 236736.

The previous prime is 711049. The next prime is 711089. The reversal of 711072 is 270117.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

711072 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, 453 + ... + 1275.

It is an arithmetic number, because the mean of its divisors is an integer number (43260).

2⁷¹¹⁰⁷² is an apocalyptic number.

711072 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 711072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038240).

711072 is an abundant number, since it is smaller than the sum of its proper divisors (1365408).

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

711072 is a wasteful number, since it uses less digits than its factorization.

711072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 711072 is about 843.2508523565. The cubic root of 711072 is about 89.2560902560.

Adding to 711072 its reverse (270117), we get a palindrome (981189).

The spelling of 711072 in words is "seven hundred eleven thousand, seventy-two", and thus it is an iban number.