705452672 has 128 divisors (see below), whose sum is σ = 1590710400. Its totient is φ = 309657600.

The previous prime is 705452669. The next prime is 705452731. The reversal of 705452672 is 276254507.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4671797 + ... + 4671947.

It is an arithmetic number, because the mean of its divisors is an integer number (12427425).

Almost surely, 2^705452672 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 705452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795355200).

705452672 is an abundant number, since it is smaller than the sum of its proper divisors (885257728).

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

705452672 is a wasteful number, since it uses less digits than its factorization.

705452672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

The square root of 705452672 is about 26560.3590337179. The cubic root of 705452672 is about 890.2034934259.

The spelling of 705452672 in words is "seven hundred five million, four hundred fifty-two thousand, six hundred seventy-two".