172780 has 24 divisors (see below), whose sum is σ = 371952. Its totient is φ = 67392.

The previous prime is 172759. The next prime is 172787. The reversal of 172780 is 87271.

It is a happy number.

172780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (172787) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 979 + ... + 1141.

It is an arithmetic number, because the mean of its divisors is an integer number (15498).

2¹⁷²⁷⁸⁰ is an apocalyptic number.

172780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172780 is an abundant number, since it is smaller than the sum of its proper divisors (199172).

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

172780 is a wasteful number, since it uses less digits than its factorization.

172780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 172780 is about 415.6681368592. The cubic root of 172780 is about 55.6969170367.

The spelling of 172780 in words is "one hundred seventy-two thousand, seven hundred eighty".