72386836272 has 240 divisors, whose sum is σ = 224656558560. Its totient is φ = 22299494400.

The previous prime is 72386836243. The next prime is 72386836283. The reversal of 72386836272 is 27263868327.

72386836272 is a `hidden beast` number, since 7 + 2 + 3 + 8 + 6 + 8 + 3 + 627 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 6388372 + ... + 6399692.

It is an arithmetic number, because the mean of its divisors is an integer number (936068994).

Almost surely, 2^72386836272 is an apocalyptic number.

72386836272 is a gapful number since it is divisible by the number (72) 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 72386836272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112328279280).

72386836272 is an abundant number, since it is smaller than the sum of its proper divisors (152269722288).

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

72386836272 is a wasteful number, since it uses less digits than its factorization.

72386836272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11417 (or 11386 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 72386836272 in words is "seventy-two billion, three hundred eighty-six million, eight hundred thirty-six thousand, two hundred seventy-two".