172248768 has 140 divisors (see below), whose sum is σ = 516331200. Its totient is φ = 56775168.

The previous prime is 172248767. The next prime is 172248773. The reversal of 172248768 is 867842271.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (172248767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 772305 + ... + 772527.

It is an arithmetic number, because the mean of its divisors is an integer number (3688080).

Almost surely, 2^172248768 is an apocalyptic number.

172248768 is a gapful number since it is divisible by the number (18) 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 172248768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258165600).

172248768 is an abundant number, since it is smaller than the sum of its proper divisors (344082432).

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

172248768 is a wasteful number, since it uses less digits than its factorization.

172248768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 377 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 172248768 is about 13124.3578128608. The cubic root of 172248768 is about 556.3977624029.

The spelling of 172248768 in words is "one hundred seventy-two million, two hundred forty-eight thousand, seven hundred sixty-eight".