172801980 has 72 divisors (see below), whose sum is σ = 564494112. Its totient is φ = 42535296.

The previous prime is 172801949. The next prime is 172801987. The reversal of 172801980 is 89108271.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172801987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34584 + ... + 39263.

It is an arithmetic number, because the mean of its divisors is an integer number (7840196).

Almost surely, 2^172801980 is an apocalyptic number.

172801980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172801980 is an abundant number, since it is smaller than the sum of its proper divisors (391692132).

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

172801980 is a wasteful number, since it uses less digits than its factorization.

172801980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73875 (or 73870 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 172801980 is about 13145.4166917599. The cubic root of 172801980 is about 556.9927874203.

The spelling of 172801980 in words is "one hundred seventy-two million, eight hundred one thousand, nine hundred eighty".