727919640 has 384 divisors, whose sum is σ = 2974233600. Its totient is φ = 150543360.

The previous prime is 727919623. The next prime is 727919641. The reversal of 727919640 is 46919727.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727919641) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1100910 + ... + 1101570.

It is an arithmetic number, because the mean of its divisors is an integer number (7745400).

Almost surely, 2^727919640 is an apocalyptic number.

727919640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 727919640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487116800).

727919640 is an abundant number, since it is smaller than the sum of its proper divisors (2246313960).

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

727919640 is a wasteful number, since it uses less digits than its factorization.

727919640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 727919640 is about 26979.9859154893. The cubic root of 727919640 is about 899.5551876013. Note that the first 3 decimals are identical.

The spelling of 727919640 in words is "seven hundred twenty-seven million, nine hundred nineteen thousand, six hundred forty".