172888560 has 320 divisors, whose sum is σ = 659957760. Its totient is φ = 41333760.

The previous prime is 172888559. The next prime is 172888627. The reversal of 172888560 is 65888271.

172888560 is a `hidden beast` number, since 1 + 7 + 2 + 8 + 88 + 560 = 666.

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

It is a congruent number.

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, 1319695 + ... + 1319825.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 2^172888560 is an apocalyptic number.

172888560 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 172888560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329978880).

172888560 is an abundant number, since it is smaller than the sum of its proper divisors (487069200).

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

172888560 is a wasteful number, since it uses less digits than its factorization.

172888560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 172888560 is about 13148.7094423749. The cubic root of 172888560 is about 557.0857963540.

The spelling of 172888560 in words is "one hundred seventy-two million, eight hundred eighty-eight thousand, five hundred sixty".