727691040 has 120 divisors (see below), whose sum is σ = 2568188700. Its totient is φ = 194047488.

The previous prime is 727691039. The next prime is 727691059. The reversal of 727691040 is 40196727.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 723179664 + 4511376 = 26892^2 + 2124^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 727690986 and 727691004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15115 + ... + 41034.

Almost surely, 2^727691040 is an apocalyptic number.

It is an amenable number.

727691040 is an abundant number, since it is smaller than the sum of its proper divisors (1840497660).

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

727691040 is a wasteful number, since it uses less digits than its factorization.

727691040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56176 (or 56159 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 727691040 is about 26975.7491091536. The cubic root of 727691040 is about 899.4610106094.

The spelling of 727691040 in words is "seven hundred twenty-seven million, six hundred ninety-one thousand, forty".