172488960 has 576 divisors, whose sum is σ = 753500160. Its totient is φ = 36495360.

The previous prime is 172488959. The next prime is 172488971. The reversal of 172488960 is 69884271.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5564145 + ... + 5564175.

It is an arithmetic number, because the mean of its divisors is an integer number (1308160).

Almost surely, 2^172488960 is an apocalyptic number.

172488960 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 172488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376750080).

172488960 is an abundant number, since it is smaller than the sum of its proper divisors (581011200).

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

172488960 is a wasteful number, since it uses less digits than its factorization.

172488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 172488960 is about 13133.5052442217. The cubic root of 172488960 is about 556.6562649201.

The spelling of 172488960 in words is "one hundred seventy-two million, four hundred eighty-eight thousand, nine hundred sixty".