727520640 has 768 divisors, whose sum is σ = 3181420800. Its totient is φ = 139345920.

The previous prime is 727520597. The next prime is 727520653. The reversal of 727520640 is 46025727.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 95 ways as a sum of consecutive naturals, for example, 19662702 + ... + 19662738.

It is an arithmetic number, because the mean of its divisors is an integer number (4142475).

Almost surely, 2^727520640 is an apocalyptic number.

727520640 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 727520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590710400).

727520640 is an abundant number, since it is smaller than the sum of its proper divisors (2453900160).

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

727520640 is a wasteful number, since it uses less digits than its factorization.

727520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 727520640 is about 26972.5905318714. The cubic root of 727520640 is about 899.3907976056.

The spelling of 727520640 in words is "seven hundred twenty-seven million, five hundred twenty thousand, six hundred forty".