172191360 has 256 divisors, whose sum is σ = 620421120. Its totient is φ = 40243200.

The previous prime is 172191359. The next prime is 172191361. The reversal of 172191360 is 63191271.

It is an interprime number because it is at equal distance from previous prime (172191359) and next prime (172191361).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (172191361) by changing a digit.

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, 654589 + ... + 654851.

It is an arithmetic number, because the mean of its divisors is an integer number (2423520).

Almost surely, 2^172191360 is an apocalyptic number.

172191360 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 172191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310210560).

172191360 is an abundant number, since it is smaller than the sum of its proper divisors (448229760).

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

172191360 is a wasteful number, since it uses less digits than its factorization.

172191360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 172191360 is about 13122.1705521609. The cubic root of 172191360 is about 556.3359424504.

The spelling of 172191360 in words is "one hundred seventy-two million, one hundred ninety-one thousand, three hundred sixty".