172768960 has 224 divisors, whose sum is σ = 537667200. Its totient is φ = 51314688.

The previous prime is 172768951. The next prime is 172768963. The reversal of 172768960 is 69867271.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×172768960² = 59698227078963200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 172768960.

It is not an unprimeable number, because it can be changed into a prime (172768963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494866 + ... + 495214.

It is an arithmetic number, because the mean of its divisors is an integer number (2400300).

Almost surely, 2^172768960 is an apocalyptic number.

172768960 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 172768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268833600).

172768960 is an abundant number, since it is smaller than the sum of its proper divisors (364898240).

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

172768960 is a wasteful number, since it uses less digits than its factorization.

172768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The square root of 172768960 is about 13144.1606806977. The cubic root of 172768960 is about 556.9573073611.

The spelling of 172768960 in words is "one hundred seventy-two million, seven hundred sixty-eight thousand, nine hundred sixty".