172766972160 has 216 divisors, whose sum is σ = 598828983480. Its totient is φ = 45988478976.

The previous prime is 172766972143. The next prime is 172766972167. The reversal of 172766972160 is 61279667271.

It can be written as a sum of positive squares in 4 ways, for example, as 1052872704 + 171714099456 = 32448^2 + 414384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 172766972097 and 172766972106.

It is not an unprimeable number, because it can be changed into a prime (172766972167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6541702 + ... + 6568058.

It is an arithmetic number, because the mean of its divisors is an integer number (2772356405).

Almost surely, 2^172766972160 is an apocalyptic number.

172766972160 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 172766972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299414491740).

172766972160 is an abundant number, since it is smaller than the sum of its proper divisors (426062011320).

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

172766972160 is a wasteful number, since it uses less digits than its factorization.

172766972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26953 (or 26936 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 172766972160 in words is "one hundred seventy-two billion, seven hundred sixty-six million, nine hundred seventy-two thousand, one hundred sixty".