172419840 has 180 divisors, whose sum is σ = 617320704. Its totient is φ = 45950976.

The previous prime is 172419833. The next prime is 172419853. The reversal of 172419840 is 48914271.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 172419795 and 172419804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102849 + ... + 104511.

Almost surely, 2^172419840 is an apocalyptic number.

172419840 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 172419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308660352).

172419840 is an abundant number, since it is smaller than the sum of its proper divisors (444900864).

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

172419840 is an equidigital number, since it uses as much as digits as its factorization.

172419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 172419840 is about 13130.8735429140. The cubic root of 172419840 is about 556.5819003123.

The spelling of 172419840 in words is "one hundred seventy-two million, four hundred nineteen thousand, eight hundred forty".