72032792797440 has 324 divisors, whose sum is σ = 258798454678764. Its totient is φ = 19208742506496.

The previous prime is 72032792797411. The next prime is 72032792797489. The reversal of 72032792797440 is 4479729723027.

72032792797440 is a `hidden beast` number, since 7 + 2 + 0 + 32 + 7 + 92 + 79 + 7 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44305743937536 + 27727048859904 = 6656256^2 + 5265648^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4109434 + ... + 12686726.

Almost surely, 2^{72032792797440} 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 72032792797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129399227339382).

72032792797440 is an abundant number, since it is smaller than the sum of its proper divisors (186765661881324).

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

72032792797440 is an frugal number, since it uses more digits than its factorization.

72032792797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8577338 (or 8577303 counting only the distinct ones).

The product of its (nonzero) digits is 74680704, while the sum is 63.

The spelling of 72032792797440 in words is "seventy-two trillion, thirty-two billion, seven hundred ninety-two million, seven hundred ninety-seven thousand, four hundred forty".