144672784 has 45 divisors (see below), whose sum is σ = 292653981. Its totient is φ = 69281280.

The previous prime is 144672767. The next prime is 144672799. The reversal of 144672784 is 487276441.

The square root of 144672784 is 12028.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 64963600 + 79709184 = 8060^2 + 8928^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144672784.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1491424 + ... + 1491520.

Almost surely, 2^144672784 is an apocalyptic number.

144672784 is the 12028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144672784

144672784 is an abundant number, since it is smaller than the sum of its proper divisors (147981197).

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

144672784 is an frugal number, since it uses more digits than its factorization.

144672784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 130 counting only the distinct ones).

The product of its digits is 301056, while the sum is 43.

The cubic root of 144672784 is about 524.9633038599.

The spelling of 144672784 in words is "one hundred forty-four million, six hundred seventy-two thousand, seven hundred eighty-four".