172116330 has 64 divisors (see below), whose sum is σ = 439084800. Its totient is φ = 43029504.

The previous prime is 172116323. The next prime is 172116349. The reversal of 172116330 is 33611271.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 172116330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177507 + ... + 178473.

It is an arithmetic number, because the mean of its divisors is an integer number (6860700).

Almost surely, 2^172116330 is an apocalyptic number.

172116330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 172116330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219542400).

172116330 is an abundant number, since it is smaller than the sum of its proper divisors (266968470).

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

172116330 is a wasteful number, since it uses less digits than its factorization.

172116330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 172116330 is about 13119.3113386336. The cubic root of 172116330 is about 556.2551254841.

The spelling of 172116330 in words is "one hundred seventy-two million, one hundred sixteen thousand, three hundred thirty".