705072000 has 256 divisors, whose sum is σ = 2406530880. Its totient is φ = 182476800.

The previous prime is 705071971. The next prime is 705072013. The reversal of 705072000 is 270507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1775802 + ... + 1776198.

Almost surely, 2^705072000 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 705072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203265440).

705072000 is an abundant number, since it is smaller than the sum of its proper divisors (1701458880).

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

705072000 is a wasteful number, since it uses less digits than its factorization.

705072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 705072000 is about 26553.1918985270. The cubic root of 705072000 is about 890.0433425847.

The spelling of 705072000 in words is "seven hundred five million, seventy-two thousand".