72784000696320 has 720 divisors, whose sum is σ = 255920050818432. Its totient is φ = 19132451389440.

The previous prime is 72784000696273. The next prime is 72784000696331. The reversal of 72784000696320 is 2369600048727.

72784000696320 is a `hidden beast` number, since 7 + 278 + 40 + 0 + 0 + 6 + 9 + 6 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34941909999 + ... + 34941912081.

Almost surely, 2^{72784000696320} 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 72784000696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960025409216).

72784000696320 is an abundant number, since it is smaller than the sum of its proper divisors (183136050122112).

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

72784000696320 is a wasteful number, since it uses less digits than its factorization.

72784000696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 72784000696320 in words is "seventy-two trillion, seven hundred eighty-four billion, six hundred ninety-six thousand, three hundred twenty".