172008144 has 160 divisors (see below), whose sum is σ = 615674880. Its totient is φ = 44668800.

The previous prime is 172008139. The next prime is 172008149. The reversal of 172008144 is 441800271.

It is an interprime number because it is at equal distance from previous prime (172008139) and next prime (172008149).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172008149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30679 + ... + 35849.

It is an arithmetic number, because the mean of its divisors is an integer number (3847968).

Almost surely, 2^172008144 is an apocalyptic number.

172008144 is a gapful number since it is divisible by the number (14) 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 172008144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307837440).

172008144 is an abundant number, since it is smaller than the sum of its proper divisors (443666736).

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

172008144 is a wasteful number, since it uses less digits than its factorization.

172008144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206 (or 5194 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 172008144 is about 13115.1875320180. The cubic root of 172008144 is about 556.1385538797.

The spelling of 172008144 in words is "one hundred seventy-two million, eight thousand, one hundred forty-four".