72792350333640 has 512 divisors, whose sum is σ = 282787855257600. Its totient is φ = 16312292904960.

The previous prime is 72792350333603. The next prime is 72792350333683. The reversal of 72792350333640 is 4633305329727.

72792350333640 is a `hidden beast` number, since 7 + 2 + 7 + 92 + 3 + 503 + 3 + 3 + 6 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81757104 + ... + 82642656.

It is an arithmetic number, because the mean of its divisors is an integer number (552320029800).

Almost surely, 2^{72792350333640} is an apocalyptic number.

72792350333640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72792350333640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141393927628800).

72792350333640 is an abundant number, since it is smaller than the sum of its proper divisors (209995504923960).

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

72792350333640 is a wasteful number, since it uses less digits than its factorization.

72792350333640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885794 (or 885784 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 54.

The spelling of 72792350333640 in words is "seventy-two trillion, seven hundred ninety-two billion, three hundred fifty million, three hundred thirty-three thousand, six hundred forty".