172022760 has 384 divisors, whose sum is σ = 707616000. Its totient is φ = 35278848.

The previous prime is 172022749. The next prime is 172022761. The reversal of 172022760 is 67220271.

It is not an unprimeable number, because it can be changed into a prime (172022761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1932796 + ... + 1932884.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 2^172022760 is an apocalyptic number.

172022760 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 172022760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353808000).

172022760 is an abundant number, since it is smaller than the sum of its proper divisors (535593240).

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

172022760 is a wasteful number, since it uses less digits than its factorization.

172022760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 172022760 is about 13115.7447367658. The cubic root of 172022760 is about 556.1543056356.

The spelling of 172022760 in words is "one hundred seventy-two million, twenty-two thousand, seven hundred sixty".