172919040 has 216 divisors, whose sum is σ = 643124160. Its totient is φ = 39481344.

The previous prime is 172919011. The next prime is 172919051. The reversal of 172919040 is 40919271.

It is a junction number, because it is equal to n+sod(n) for n = 172918992 and 172919010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187701 + ... + 188619.

Almost surely, 2^172919040 is an apocalyptic number.

172919040 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 172919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321562080).

172919040 is an abundant number, since it is smaller than the sum of its proper divisors (470205120).

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

172919040 is an equidigital number, since it uses as much as digits as its factorization.

172919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 172919040 is about 13149.8684404065. The cubic root of 172919040 is about 557.1185322338.

The spelling of 172919040 in words is "one hundred seventy-two million, nine hundred nineteen thousand, forty".