72788013936000 has 2048 divisors, whose sum is σ = 298618085376000. Its totient is φ = 17494880256000.

The previous prime is 72788013935981. The next prime is 72788013936037. The reversal of 72788013936000 is 63931088727.

72788013936000 is a `hidden beast` number, since 7 + 2 + 78 + 80 + 139 + 360 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48883823256 + ... + 48883824744.

It is an arithmetic number, because the mean of its divisors is an integer number (145809612000).

Almost surely, 2^{72788013936000} 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 72788013936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149309042688000).

72788013936000 is an abundant number, since it is smaller than the sum of its proper divisors (225830071440000).

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

72788013936000 is a wasteful number, since it uses less digits than its factorization.

72788013936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 72788013936000 in words is "seventy-two trillion, seven hundred eighty-eight billion, thirteen million, nine hundred thirty-six thousand".