172472489280 has 1008 divisors, whose sum is σ = 761629783824. Its totient is φ = 35486760960.

The previous prime is 172472489279. The next prime is 172472489281. The reversal of 172472489280 is 82984274271.

172472489280 is a `hidden beast` number, since 1 + 7 + 2 + 472 + 4 + 8 + 92 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (172472489279) and next prime (172472489281).

It can be written as a sum of positive squares in 8 ways, for example, as 64268334144 + 108204155136 = 253512^2 + 328944^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172472489281) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75215814 + ... + 75218106.

It is an arithmetic number, because the mean of its divisors is an integer number (755585103).

Almost surely, 2^172472489280 is an apocalyptic number.

172472489280 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 172472489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380814891912).

172472489280 is an abundant number, since it is smaller than the sum of its proper divisors (589157294544).

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

172472489280 is a wasteful number, since it uses less digits than its factorization.

172472489280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 172472489280 in words is "one hundred seventy-two billion, four hundred seventy-two million, four hundred eighty-nine thousand, two hundred eighty".