172910080 has 80 divisors (see below), whose sum is σ = 473853600. Its totient is φ = 59277312.

The previous prime is 172910071. The next prime is 172910131. The reversal of 172910080 is 80019271.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13096 + ... + 22744.

It is an arithmetic number, because the mean of its divisors is an integer number (5923170).

Almost surely, 2^172910080 is an apocalyptic number.

172910080 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 172910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236926800).

172910080 is an abundant number, since it is smaller than the sum of its proper divisors (300943520).

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

172910080 is an frugal number, since it uses more digits than its factorization.

172910080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9679 (or 9663 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 172910080 is about 13149.5277481741. The cubic root of 172910080 is about 557.1089094872.

The spelling of 172910080 in words is "one hundred seventy-two million, nine hundred ten thousand, eighty".