705168072 has 128 divisors (see below), whose sum is σ = 2286489600. Its totient is φ = 197169984.

The previous prime is 705168047. The next prime is 705168097. The reversal of 705168072 is 270861507.

705168072 is a `hidden beast` number, since 70 + 516 + 8 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (705168047) and next prime (705168097).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 66103 + ... + 76025.

It is an arithmetic number, because the mean of its divisors is an integer number (17863200).

Almost surely, 2^705168072 is an apocalyptic number.

705168072 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 705168072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143244800).

705168072 is an abundant number, since it is smaller than the sum of its proper divisors (1581321528).

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

705168072 is a wasteful number, since it uses less digits than its factorization.

705168072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9992 (or 9982 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 705168072 is about 26555.0008849557. Note that the first 3 decimals coincide. The cubic root of 705168072 is about 890.0837660500.

The spelling of 705168072 in words is "seven hundred five million, one hundred sixty-eight thousand, seventy-two".