162724471569072 has 640 divisors, whose sum is σ = 554366332569600. Its totient is φ = 44731160064000.

The previous prime is 162724471569047. The next prime is 162724471569151. The reversal of 162724471569072 is 270965174427261.

162724471569072 is a `hidden beast` number, since 1 + 6 + 2 + 7 + 2 + 4 + 471 + 5 + 6 + 90 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9277856079 + ... + 9277873617.

It is an arithmetic number, because the mean of its divisors is an integer number (866197394640).

Almost surely, 2^{162724471569072} is an apocalyptic number.

162724471569072 is a gapful number since it is divisible by the number (12) 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 162724471569072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277183166284800).

162724471569072 is an abundant number, since it is smaller than the sum of its proper divisors (391641861000528).

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

162724471569072 is a wasteful number, since it uses less digits than its factorization.

162724471569072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18522 (or 18510 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 162724471569072 in words is "one hundred sixty-two trillion, seven hundred twenty-four billion, four hundred seventy-one million, five hundred sixty-nine thousand, seventy-two".