1072170312192 has 240 divisors, whose sum is σ = 3537682948800. Its totient is φ = 306223865856.

The previous prime is 1072170312043. The next prime is 1072170312217. The reversal of 1072170312192 is 2912130712701.

It is a super-2 number, since 2×1072170312192² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140277523 + ... + 140285165.

It is an arithmetic number, because the mean of its divisors is an integer number (14740345620).

Almost surely, 2^{1072170312192} is an apocalyptic number.

1072170312192 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 1072170312192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768841474400).

1072170312192 is an abundant number, since it is smaller than the sum of its proper divisors (2465512636608).

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

1072170312192 is an equidigital number, since it uses as much as digits as its factorization.

1072170312192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12023 (or 12004 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 1072170312192 in words is "one trillion, seventy-two billion, one hundred seventy million, three hundred twelve thousand, one hundred ninety-two".