72051677040000 has 1280 divisors, whose sum is σ = 277084574553600. Its totient is φ = 16243752960000.

The previous prime is 72051677039987. The next prime is 72051677040053. The reversal of 72051677040000 is 4077615027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47061839235 + ... + 47061840765.

It is an arithmetic number, because the mean of its divisors is an integer number (216472323870).

Almost surely, 2^{72051677040000} is an apocalyptic number.

72051677040000 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 72051677040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138542287276800).

72051677040000 is an abundant number, since it is smaller than the sum of its proper divisors (205032897513600).

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

72051677040000 is a wasteful number, since it uses less digits than its factorization.

72051677040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The spelling of 72051677040000 in words is "seventy-two trillion, fifty-one billion, six hundred seventy-seven million, forty thousand".