706372072 has 64 divisors (see below), whose sum is σ = 1545984000. Its totient is φ = 296312256.

The previous prime is 706372057. The next prime is 706372097. The reversal of 706372072 is 270273607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1450213 + ... + 1450699.

It is an arithmetic number, because the mean of its divisors is an integer number (24156000).

Almost surely, 2^706372072 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 706372072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772992000).

706372072 is an abundant number, since it is smaller than the sum of its proper divisors (839611928).

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

706372072 is a wasteful number, since it uses less digits than its factorization.

706372072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 34.

The square root of 706372072 is about 26577.6611461581. The cubic root of 706372072 is about 890.5900526876.

The spelling of 706372072 in words is "seven hundred six million, three hundred seventy-two thousand, seventy-two".