36224278272 has 720 divisors, whose sum is σ = 135177405440. Its totient is φ = 9432723456.

The previous prime is 36224278253. The next prime is 36224278289. The reversal of 36224278272 is 27287242263.

It is a super-4 number, since 4×36224278272⁴ (a number of 43 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 458535129 + ... + 458535207.

Almost surely, 2^36224278272 is an apocalyptic number.

36224278272 is a gapful number since it is divisible by the number (32) 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 36224278272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67588702720).

36224278272 is an abundant number, since it is smaller than the sum of its proper divisors (98953127168).

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

36224278272 is an frugal number, since it uses more digits than its factorization.

36224278272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 104 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The spelling of 36224278272 in words is "thirty-six billion, two hundred twenty-four million, two hundred seventy-eight thousand, two hundred seventy-two".