706419072 has 192 divisors, whose sum is σ = 2128389120. Its totient is φ = 224640000.

The previous prime is 706419067. The next prime is 706419073. The reversal of 706419072 is 270914607.

It is a happy number.

706419072 is a `hidden beast` number, since 7 + 0 + 641 + 9 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706419073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4678197 + ... + 4678347.

It is an arithmetic number, because the mean of its divisors is an integer number (11085360).

Almost surely, 2^706419072 is an apocalyptic number.

706419072 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 706419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064194560).

706419072 is an abundant number, since it is smaller than the sum of its proper divisors (1421970048).

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

706419072 is a wasteful number, since it uses less digits than its factorization.

706419072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 706419072 is about 26578.5453326551. The cubic root of 706419072 is about 890.6098046974.

The spelling of 706419072 in words is "seven hundred six million, four hundred nineteen thousand, seventy-two".