706642272 has 192 divisors, whose sum is σ = 2432102400. Its totient is φ = 195333120.

The previous prime is 706642267. The next prime is 706642273. The reversal of 706642272 is 272246607.

706642272 is a `hidden beast` number, since 7 + 0 + 6 + 642 + 2 + 7 + 2 = 666.

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 (706642273) 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 31 ways as a sum of consecutive naturals, for example, 185604 + ... + 189372.

It is an arithmetic number, because the mean of its divisors is an integer number (12667200).

Almost surely, 2^706642272 is an apocalyptic number.

706642272 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 706642272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216051200).

706642272 is an abundant number, since it is smaller than the sum of its proper divisors (1725460128).

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

706642272 is a wasteful number, since it uses less digits than its factorization.

706642272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 706642272 is about 26582.7438764323. The cubic root of 706642272 is about 890.7035937734.

Adding to 706642272 its reverse (272246607), we get a palindrome (978888879).

The spelling of 706642272 in words is "seven hundred six million, six hundred forty-two thousand, two hundred seventy-two".