172342080 has 280 divisors, whose sum is σ = 628817640. Its totient is φ = 44789760.

The previous prime is 172342043. The next prime is 172342087. The reversal of 172342080 is 80243271.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 169833024 = 1584^2 + 13032^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (172342087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1581066 + ... + 1581174.

Almost surely, 2^172342080 is an apocalyptic number.

172342080 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 172342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314408820).

172342080 is an abundant number, since it is smaller than the sum of its proper divisors (456475560).

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

172342080 is a wasteful number, since it uses less digits than its factorization.

172342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 172342080 is about 13127.9122483356. The cubic root of 172342080 is about 556.4982163688.

The spelling of 172342080 in words is "one hundred seventy-two million, three hundred forty-two thousand, eighty".