13772448 has 144 divisors (see below), whose sum is σ = 43341480. Its totient is φ = 4128768.

The previous prime is 13772443. The next prime is 13772459. The reversal of 13772448 is 84427731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12873744 + 898704 = 3588^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (13772443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141936 + ... + 142032.

Almost surely, 2^13772448 is an apocalyptic number.

13772448 is a gapful number since it is divisible by the number (18) 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 13772448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21670740).

13772448 is an abundant number, since it is smaller than the sum of its proper divisors (29569032).

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

13772448 is a wasteful number, since it uses less digits than its factorization.

13772448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 13772448 is about 3711.1248968473. The cubic root of 13772448 is about 239.7012950515.

It can be divided in two parts, 1377 and 2448, that multiplied together give a square (3370896 = 1836²).

The spelling of 13772448 in words is "thirteen million, seven hundred seventy-two thousand, four hundred forty-eight".