172018080 has 240 divisors, whose sum is σ = 654419304. Its totient is φ = 42301440.

The previous prime is 172018061. The next prime is 172018097. The reversal of 172018080 is 80810271.

It can be written as a sum of positive squares in 4 ways, for example, as 114318864 + 57699216 = 10692^2 + 7596^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167970 + ... + 168990.

Almost surely, 2^172018080 is an apocalyptic number.

172018080 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 172018080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327209652).

172018080 is an abundant number, since it is smaller than the sum of its proper divisors (482401224).

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

172018080 is a wasteful number, since it uses less digits than its factorization.

172018080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 172018080 is about 13115.5663240289. The cubic root of 172018080 is about 556.1492620670.

It can be divided in two parts, 17201 and 8080, that added together give a square (25281 = 159²).

The spelling of 172018080 in words is "one hundred seventy-two million, eighteen thousand, eighty".