1001728062720 has 2880 divisors, whose sum is σ = 4849006643712. Its totient is φ = 192695500800.

The previous prime is 1001728062701. The next prime is 1001728062767. The reversal of 1001728062720 is 272608271001.

1001728062720 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 7 + 2 + 8 + 0 + 627 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×1001728062720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16421771490 + ... + 16421771550.

Almost surely, 2^{1001728062720} is an apocalyptic number.

1001728062720 is a gapful number since it is divisible by the number (10) 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 1001728062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424503321856).

1001728062720 is an abundant number, since it is smaller than the sum of its proper divisors (3847278580992).

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

1001728062720 is an equidigital number, since it uses as much as digits as its factorization.

1001728062720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 1001728062720 in words is "one trillion, one billion, seven hundred twenty-eight million, sixty-two thousand, seven hundred twenty".