727751040 has 128 divisors (see below), whose sum is σ = 2394731520. Its totient is φ = 187791360.

The previous prime is 727751029. The next prime is 727751047. The reversal of 727751040 is 40157727.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 727750992 and 727751010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727751047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53407 + ... + 65633.

It is an arithmetic number, because the mean of its divisors is an integer number (18708840).

Almost surely, 2^727751040 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 727751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197365760).

727751040 is an abundant number, since it is smaller than the sum of its proper divisors (1666980480).

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

727751040 is a wasteful number, since it uses less digits than its factorization.

727751040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12280 (or 12268 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 727751040 is about 26976.8611962178. The cubic root of 727751040 is about 899.4857308888.

The spelling of 727751040 in words is "seven hundred twenty-seven million, seven hundred fifty-one thousand, forty".