727566972720 has 640 divisors, whose sum is σ = 2765271011328. Its totient is φ = 154632192000.

The previous prime is 727566972719. The next prime is 727566972731. The reversal of 727566972720 is 27279665727.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 559236070 + ... + 559237370.

Almost surely, 2^727566972720 is an apocalyptic number.

727566972720 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 727566972720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382635505664).

727566972720 is an abundant number, since it is smaller than the sum of its proper divisors (2037704038608).

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

727566972720 is a wasteful number, since it uses less digits than its factorization.

727566972720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 60.

The spelling of 727566972720 in words is "seven hundred twenty-seven billion, five hundred sixty-six million, nine hundred seventy-two thousand, seven hundred twenty".