526735872 has 200 divisors, whose sum is σ = 1694836836. Its totient is φ = 161906688.

The previous prime is 526735831. The next prime is 526735919. The reversal of 526735872 is 278537625.

526735872 is a `hidden beast` number, since 5 + 2 + 67 + 3 + 587 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 524226816 + 2509056 = 22896^2 + 1584^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 538648 + ... + 539624.

Almost surely, 2^526735872 is an apocalyptic number.

526735872 is a gapful number since it is divisible by the number (52) 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 526735872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847418418).

526735872 is an abundant number, since it is smaller than the sum of its proper divisors (1168100964).

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

526735872 is an equidigital number, since it uses as much as digits as its factorization.

526735872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 995 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 526735872 is about 22950.7270473072. The cubic root of 526735872 is about 807.6024577729.

The spelling of 526735872 in words is "five hundred twenty-six million, seven hundred thirty-five thousand, eight hundred seventy-two".