727626240 has 600 divisors, whose sum is σ = 2963365020. Its totient is φ = 170311680.

The previous prime is 727626233. The next prime is 727626281. The reversal of 727626240 is 42626727.

727626240 is a `hidden beast` number, since 7 + 2 + 7 + 626 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 725117184 + 2509056 = 26928^2 + 1584^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 727626195 and 727626204.

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 59 ways as a sum of consecutive naturals, for example, 25090546 + ... + 25090574.

Almost surely, 2^727626240 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 727626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481682510).

727626240 is an abundant number, since it is smaller than the sum of its proper divisors (2235738780).

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

727626240 is a wasteful number, since it uses less digits than its factorization.

727626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 727626240 is about 26974.5480036274. The cubic root of 727626240 is about 899.4343111813.

The spelling of 727626240 in words is "seven hundred twenty-seven million, six hundred twenty-six thousand, two hundred forty".