72578712192000 has 2816 divisors, whose sum is σ = 295657491916800. Its totient is φ = 15780151296000.

The previous prime is 72578712191959. The next prime is 72578712192023. The reversal of 72578712192000 is 29121787527.

It is a happy 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, 258287231860 + ... + 258287232140.

Almost surely, 2^{72578712192000} is an apocalyptic number.

72578712192000 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 72578712192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147828745958400).

72578712192000 is an abundant number, since it is smaller than the sum of its proper divisors (223078779724800).

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

72578712192000 is a wasteful number, since it uses less digits than its factorization.

72578712192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 51.

The spelling of 72578712192000 in words is "seventy-two trillion, five hundred seventy-eight billion, seven hundred twelve million, one hundred ninety-two thousand".