36072108072000 has 1344 divisors, whose sum is σ = 173251401942528. Its totient is φ = 6918912000000.

The previous prime is 36072108071963. The next prime is 36072108072071. The reversal of 36072108072000 is 27080127063.

36072108072000 is a `hidden beast` number, since 3 + 607 + 21 + 0 + 8 + 0 + 7 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71821750 + ... + 72322250.

It is an arithmetic number, because the mean of its divisors is an integer number (128907293112).

Almost surely, 2^{36072108072000} is an apocalyptic number.

36072108072000 is a gapful number since it is divisible by the number (30) 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 36072108072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86625700971264).

36072108072000 is an abundant number, since it is smaller than the sum of its proper divisors (137179293870528).

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

36072108072000 is a wasteful number, since it uses less digits than its factorization.

36072108072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500565 (or 500542 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 36072108072000 its sum of digits (36), we get a square (36072108072036 = 6006006²).

Adding to 36072108072000 its reverse (27080127063), we get a palindrome (36099188199063).

The spelling of 36072108072000 in words is "thirty-six trillion, seventy-two billion, one hundred eight million, seventy-two thousand".