172254240 has 288 divisors, whose sum is σ = 625178736. Its totient is φ = 43130880.

The previous prime is 172254233. The next prime is 172254241. The reversal of 172254240 is 42452271.

172254240 is a `hidden beast` number, since 17 + 225 + 424 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 80784144 + 91470096 = 8988^2 + 9564^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×172254240³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (172254241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2823810 + ... + 2823870.

Almost surely, 2^172254240 is an apocalyptic number.

172254240 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 172254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312589368).

172254240 is an abundant number, since it is smaller than the sum of its proper divisors (452924496).

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

172254240 is a wasteful number, since it uses less digits than its factorization.

172254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 172254240 is about 13124.5662785480. The cubic root of 172254240 is about 556.4036542231.

The spelling of 172254240 in words is "one hundred seventy-two million, two hundred fifty-four thousand, two hundred forty".