72074394832896 has 637 divisors, whose sum is σ = 229604055009421. Its totient is φ = 22611574849536.

The previous prime is 72074394832883. The next prime is 72074394832901. The reversal of 72074394832896 is 69823849347027.

The square root of 72074394832896 is 8489664.

The cubic root of 72074394832896 is 41616.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

72074394832896 is a `hidden beast` number, since 7 + 2 + 0 + 7 + 4 + 39 + 483 + 28 + 96 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 731640729600 + 71342754103296 = 855360^2 + 8446464^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 4239670284280 + ... + 4239670284296.

Almost surely, 2^{72074394832896} is an apocalyptic number.

72074394832896 is the 8489664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72074394832896

72074394832896 is an abundant number, since it is smaller than the sum of its proper divisors (157529660176525).

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

72074394832896 is an frugal number, since it uses more digits than its factorization.

72074394832896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 72074394832896 in words is "seventy-two trillion, seventy-four billion, three hundred ninety-four million, eight hundred thirty-two thousand, eight hundred ninety-six".