72693027790080 has 288 divisors, whose sum is σ = 248206650741504. Its totient is φ = 18067391643648.

The previous prime is 72693027790069. The next prime is 72693027790147. The reversal of 72693027790080 is 8009772039627.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 72693027789996 and 72693027790023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1318222 + ... + 12129458.

It is an arithmetic number, because the mean of its divisors is an integer number (861828648408).

Almost surely, 2^{72693027790080} 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 72693027790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124103325370752).

72693027790080 is an abundant number, since it is smaller than the sum of its proper divisors (175513622951424).

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

72693027790080 is a wasteful number, since it uses less digits than its factorization.

72693027790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10811381 (or 10811367 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 72693027790080 in words is "seventy-two trillion, six hundred ninety-three billion, twenty-seven million, seven hundred ninety thousand, eighty".