172288512 has 240 divisors, whose sum is σ = 566005440. Its totient is φ = 51701760.

The previous prime is 172288499. The next prime is 172288513. The reversal of 172288512 is 215882271.

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

It is not an unprimeable number, because it can be changed into a prime (172288513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1672653 + ... + 1672755.

It is an arithmetic number, because the mean of its divisors is an integer number (2358356).

Almost surely, 2^172288512 is an apocalyptic number.

172288512 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 172288512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283002720).

172288512 is an abundant number, since it is smaller than the sum of its proper divisors (393716928).

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

172288512 is a wasteful number, since it uses less digits than its factorization.

172288512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 119 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 172288512 is about 13125.8718567568. The cubic root of 172288512 is about 556.4405527856.

The spelling of 172288512 in words is "one hundred seventy-two million, two hundred eighty-eight thousand, five hundred twelve".