172626560 has 128 divisors (see below), whose sum is σ = 436233600. Its totient is φ = 65228800.

The previous prime is 172626557. The next prime is 172626563. The reversal of 172626560 is 65626271.

It is an interprime number because it is at equal distance from previous prime (172626557) and next prime (172626563).

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 172626560.

It is not an unprimeable number, because it can be changed into a prime (172626563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1317695 + ... + 1317825.

It is an arithmetic number, because the mean of its divisors is an integer number (3408075).

Almost surely, 2^172626560 is an apocalyptic number.

172626560 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 172626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218116800).

172626560 is an abundant number, since it is smaller than the sum of its proper divisors (263607040).

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

172626560 is a wasteful number, since it uses less digits than its factorization.

172626560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 172626560 is about 13138.7427100161. The cubic root of 172626560 is about 556.8042464555.

The spelling of 172626560 in words is "one hundred seventy-two million, six hundred twenty-six thousand, five hundred sixty".