172288272 has 80 divisors (see below), whose sum is σ = 490538048. Its totient is φ = 51770880.

The previous prime is 172288271. The next prime is 172288321. The reversal of 172288272 is 272882271.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 172288272.

It is not an unprimeable number, because it can be changed into a prime (172288271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23622 + ... + 30042.

Almost surely, 2^172288272 is an apocalyptic number.

172288272 is a gapful number since it is divisible by the number (12) 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 172288272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245269024).

172288272 is an abundant number, since it is smaller than the sum of its proper divisors (318249776).

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

172288272 is a wasteful number, since it uses less digits than its factorization.

172288272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6488 (or 6482 counting only the distinct ones).

The product of its digits is 50176, while the sum is 39.

The square root of 172288272 is about 13125.8627145038. The cubic root of 172288272 is about 556.4402944093.

The spelling of 172288272 in words is "one hundred seventy-two million, two hundred eighty-eight thousand, two hundred seventy-two".