172325724480 has 1680 divisors, whose sum is σ = 783123030144. Its totient is φ = 35846737920.

The previous prime is 172325724479. The next prime is 172325724539. The reversal of 172325724480 is 84427523271.

172325724480 is a `hidden beast` number, since 1 + 7 + 2 + 32 + 572 + 4 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-3 number, since 3×172325724480³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2427122845 + ... + 2427122915.

Almost surely, 2^172325724480 is an apocalyptic number.

172325724480 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 172325724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391561515072).

172325724480 is an abundant number, since it is smaller than the sum of its proper divisors (610797305664).

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

172325724480 is an frugal number, since it uses more digits than its factorization.

172325724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 172325724480 in words is "one hundred seventy-two billion, three hundred twenty-five million, seven hundred twenty-four thousand, four hundred eighty".