144732672 has 180 divisors, whose sum is σ = 486663606. Its totient is φ = 41287680.

The previous prime is 144732619. The next prime is 144732683. The reversal of 144732672 is 276237441.

It can be written as a sum of positive squares in only one way, i.e., 94945536 + 49787136 = 9744^2 + 7056^2 .

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225472 + ... + 226112.

Almost surely, 2^144732672 is an apocalyptic number.

144732672 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 144732672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243331803).

144732672 is an abundant number, since it is smaller than the sum of its proper divisors (341930934).

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

144732672 is an equidigital number, since it uses as much as digits as its factorization.

144732672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 653 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 144732672 is about 12030.4892668586. The cubic root of 144732672 is about 525.0357309015.

The spelling of 144732672 in words is "one hundred forty-four million, seven hundred thirty-two thousand, six hundred seventy-two".