1743832081872 has 120 divisors (see below), whose sum is σ = 5138454852960. Its totient is φ = 550545672960.

The previous prime is 1743832081861. The next prime is 1743832081897. The reversal of 1743832081872 is 2781802383471.

1743832081872 is a `hidden beast` number, since 1 + 7 + 438 + 3 + 20 + 8 + 187 + 2 = 666.

It is a super-2 number, since 2×1743832081872² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11115078 + ... + 11270874.

It is an arithmetic number, because the mean of its divisors is an integer number (42820457108).

Almost surely, 2^{1743832081872} is an apocalyptic number.

1743832081872 is a gapful number since it is divisible by the number (12) 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 1743832081872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569227426480).

1743832081872 is an abundant number, since it is smaller than the sum of its proper divisors (3394622771088).

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

1743832081872 is a wasteful number, since it uses less digits than its factorization.

1743832081872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159921 (or 159912 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 1743832081872 in words is "one trillion, seven hundred forty-three billion, eight hundred thirty-two million, eighty-one thousand, eight hundred seventy-two".