36072108071982 has 128 divisors (see below), whose sum is σ = 82170192199680. Its totient is φ = 11724484272480.

The previous prime is 36072108071963. The next prime is 36072108072071. The reversal of 36072108071982 is 28917080127063.

It is a happy number.

36072108071982 is a `hidden beast` number, since 3 + 607 + 2 + 10 + 8 + 0 + 7 + 19 + 8 + 2 = 666.

It is a super-2 number, since 2×36072108071982² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1742014473 + ... + 1742035179.

It is an arithmetic number, because the mean of its divisors is an integer number (641954626560).

Almost surely, 2^{36072108071982} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36072108071982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41085096099840).

36072108071982 is an abundant number, since it is smaller than the sum of its proper divisors (46098084127698).

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

36072108071982 is a wasteful number, since it uses less digits than its factorization.

36072108071982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23283 (or 23277 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

Adding to 36072108071982 its sum of digits (54), we get a square (36072108072036 = 6006006²).

The spelling of 36072108071982 in words is "thirty-six trillion, seventy-two billion, one hundred eight million, seventy-one thousand, nine hundred eighty-two".