727540944 has 80 divisors (see below), whose sum is σ = 2036328000. Its totient is φ = 223826304.

The previous prime is 727540921. The next prime is 727540969. The reversal of 727540944 is 449045727.

727540944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×727540944² = 1058631650392822272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 727540896 and 727540905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102007 + ... + 108905.

It is an arithmetic number, because the mean of its divisors is an integer number (25454100).

Almost surely, 2^727540944 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 727540944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018164000).

727540944 is an abundant number, since it is smaller than the sum of its proper divisors (1308787056).

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

727540944 is a wasteful number, since it uses less digits than its factorization.

727540944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6949 (or 6917 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 727540944 is about 26972.9669113355. The cubic root of 727540944 is about 899.3991644065.

The spelling of 727540944 in words is "seven hundred twenty-seven million, five hundred forty thousand, nine hundred forty-four".