727750040 has 64 divisors (see below), whose sum is σ = 1688139360. Its totient is φ = 282147840.

The previous prime is 727750033. The next prime is 727750091. The reversal of 727750040 is 40057727.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 727749979 and 727750006.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 462455 + ... + 464025.

Almost surely, 2^727750040 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 727750040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844069680).

727750040 is an abundant number, since it is smaller than the sum of its proper divisors (960389320).

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

727750040 is a wasteful number, since it uses less digits than its factorization.

727750040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 32.

The square root of 727750040 is about 26976.8426618090. The cubic root of 727750040 is about 899.4853188952.

The spelling of 727750040 in words is "seven hundred twenty-seven million, seven hundred fifty thousand, forty".