172565280 has 144 divisors (see below), whose sum is σ = 592333560. Its totient is φ = 45748224.

The previous prime is 172565257. The next prime is 172565333. The reversal of 172565280 is 82565271.

It is a happy number.

172565280 is a `hidden beast` number, since 1 + 72 + 565 + 28 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 172029456 + 535824 = 13116^2 + 732^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×172565280² = 59557551722956800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421716 + ... + 422124.

Almost surely, 2^172565280 is an apocalyptic number.

172565280 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 172565280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296166780).

172565280 is an abundant number, since it is smaller than the sum of its proper divisors (419768280).

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

172565280 is a wasteful number, since it uses less digits than its factorization.

172565280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 172565280 is about 13136.4104686174. The cubic root of 172565280 is about 556.7383527666.

Subtracting from 172565280 its reverse (82565271), we obtain a palindrome (90000009).

The spelling of 172565280 in words is "one hundred seventy-two million, five hundred sixty-five thousand, two hundred eighty".