706272 has 48 divisors (see below), whose sum is σ = 2120832. Its totient is φ = 201600.

The previous prime is 706267. The next prime is 706283. The reversal of 706272 is 272607.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

706272 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, 147 + ... + 1197.

It is an arithmetic number, because the mean of its divisors is an integer number (44184).

2⁷⁰⁶²⁷² 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 706272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060416).

706272 is an abundant number, since it is smaller than the sum of its proper divisors (1414560).

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

706272 is a wasteful number, since it uses less digits than its factorization.

706272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 706272 is about 840.3999048072. The cubic root of 706272 is about 89.0547993958.

Adding to 706272 its reverse (272607), we get a palindrome (978879).

The spelling of 706272 in words is "seven hundred six thousand, two hundred seventy-two".