13772284272 has 90 divisors (see below), whose sum is σ = 39187007496. Its totient is φ = 4515327360.

The previous prime is 13772284261. The next prime is 13772284277. The reversal of 13772284272 is 27248227731.

13772284272 is a `hidden beast` number, since 1 + 37 + 72 + 284 + 272 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13772284277) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 522973 + ... + 548675.

Almost surely, 2^13772284272 is an apocalyptic number.

13772284272 is a gapful number since it is divisible by the number (12) 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 13772284272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19593503748).

13772284272 is an abundant number, since it is smaller than the sum of its proper divisors (25414723224).

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

13772284272 is a wasteful number, since it uses less digits than its factorization.

13772284272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25839 (or 25769 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The spelling of 13772284272 in words is "thirteen billion, seven hundred seventy-two million, two hundred eighty-four thousand, two hundred seventy-two".