12072552801750 has 768 divisors, whose sum is σ = 39500665731072. Its totient is φ = 2702082240000.

The previous prime is 12072552801737. The next prime is 12072552801797. The reversal of 12072552801750 is 5710825527021.

12072552801750 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 2 + 552 + 80 + 17 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 12072552801696 and 12072552801705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5157005580 + ... + 5157007920.

It is an arithmetic number, because the mean of its divisors is an integer number (51433158504).

Almost surely, 2^{12072552801750} is an apocalyptic number.

12072552801750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12072552801750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19750332865536).

12072552801750 is an abundant number, since it is smaller than the sum of its proper divisors (27428112929322).

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

12072552801750 is a wasteful number, since it uses less digits than its factorization.

12072552801750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 12072552801750 in words is "twelve trillion, seventy-two billion, five hundred fifty-two million, eight hundred one thousand, seven hundred fifty".