706408272 has 60 divisors (see below), whose sum is σ = 1978891200. Its totient is φ = 235239744.

The previous prime is 706408271. The next prime is 706408273. The reversal of 706408272 is 272804607.

706408272 is a `hidden beast` number, since 7 + 0 + 640 + 8 + 2 + 7 + 2 = 666.

706408272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (706408271) and next prime (706408273).

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 (706408271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212479 + ... + 215777.

It is an arithmetic number, because the mean of its divisors is an integer number (32981520).

Almost surely, 2^706408272 is an apocalyptic number.

706408272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

706408272 is an abundant number, since it is smaller than the sum of its proper divisors (1272482928).

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

706408272 is a wasteful number, since it uses less digits than its factorization.

706408272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800 (or 4791 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 706408272 is about 26578.3421604885. The cubic root of 706408272 is about 890.6052660152.

The spelling of 706408272 in words is "seven hundred six million, four hundred eight thousand, two hundred seventy-two".