72143019179520 has 320 divisors, whose sum is σ = 246439220005440. Its totient is φ = 17940365180928.

The previous prime is 72143019179477. The next prime is 72143019179533. The reversal of 72143019179520 is 2597191034127.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11696334 + ... + 16765746.

It is an arithmetic number, because the mean of its divisors is an integer number (770122562517).

Almost surely, 2^{72143019179520} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72143019179520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123219610002720).

72143019179520 is an abundant number, since it is smaller than the sum of its proper divisors (174296200825920).

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

72143019179520 is a wasteful number, since it uses less digits than its factorization.

72143019179520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069565 (or 5069549 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 72143019179520 in words is "seventy-two trillion, one hundred forty-three billion, nineteen million, one hundred seventy-nine thousand, five hundred twenty".