705526272 has 240 divisors, whose sum is σ = 2298067200. Its totient is φ = 206438400.

The previous prime is 705526267. The next prime is 705526273. The reversal of 705526272 is 272625507.

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

It is not an unprimeable number, because it can be changed into a prime (705526273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1571104 + ... + 1571552.

It is an arithmetic number, because the mean of its divisors is an integer number (9575280).

Almost surely, 2^705526272 is an apocalyptic number.

705526272 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 705526272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149033600).

705526272 is an abundant number, since it is smaller than the sum of its proper divisors (1592540928).

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

705526272 is a wasteful number, since it uses less digits than its factorization.

705526272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 705526272 is about 26561.7445210212. The cubic root of 705526272 is about 890.2344507111.

The spelling of 705526272 in words is "seven hundred five million, five hundred twenty-six thousand, two hundred seventy-two".