72145554085440 has 1344 divisors, whose sum is σ = 289268012328960. Its totient is φ = 16896986726400.

The previous prime is 72145554085421. The next prime is 72145554085453. The reversal of 72145554085440 is 4458045554127.

72145554085440 is a `hidden beast` number, since 7 + 2 + 1 + 4 + 5 + 5 + 540 + 8 + 54 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23755531602 + ... + 23755534638.

It is an arithmetic number, because the mean of its divisors is an integer number (215229175840).

Almost surely, 2^{72145554085440} 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 72145554085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144634006164480).

72145554085440 is an abundant number, since it is smaller than the sum of its proper divisors (217122458243520).

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

72145554085440 is a wasteful number, since it uses less digits than its factorization.

72145554085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 17920000, while the sum is 54.

The spelling of 72145554085440 in words is "seventy-two trillion, one hundred forty-five billion, five hundred fifty-four million, eighty-five thousand, four hundred forty".