172257680 has 80 divisors (see below), whose sum is σ = 473541120. Its totient is φ = 57017856.

The previous prime is 172257653. The next prime is 172257691. The reversal of 172257680 is 86752271.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10937 + ... + 21543.

It is an arithmetic number, because the mean of its divisors is an integer number (5919264).

Almost surely, 2^172257680 is an apocalyptic number.

172257680 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 172257680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236770560).

172257680 is an abundant number, since it is smaller than the sum of its proper divisors (301283440).

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

172257680 is a wasteful number, since it uses less digits than its factorization.

172257680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10656 (or 10650 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 172257680 is about 13124.6973298435. The cubic root of 172257680 is about 556.4073580813.

The spelling of 172257680 in words is "one hundred seventy-two million, two hundred fifty-seven thousand, six hundred eighty".