705303072 has 192 divisors, whose sum is σ = 2249856000. Its totient is φ = 213995520.

The previous prime is 705303061. The next prime is 705303077. The reversal of 705303072 is 270303507.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (705303077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454554 + ... + 456102.

It is an arithmetic number, because the mean of its divisors is an integer number (11718000).

Almost surely, 2^705303072 is an apocalyptic number.

705303072 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 705303072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124928000).

705303072 is an abundant number, since it is smaller than the sum of its proper divisors (1544552928).

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

705303072 is a wasteful number, since it uses less digits than its factorization.

705303072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 705303072 is about 26557.5426574071. The cubic root of 705303072 is about 890.1405627419.

Adding to 705303072 its reverse (270303507), we get a palindrome (975606579).

The spelling of 705303072 in words is "seven hundred five million, three hundred three thousand, seventy-two".