144006772 has 96 divisors (see below), whose sum is σ = 328753152. Its totient is φ = 53640576.

The previous prime is 144006769. The next prime is 144006773. The reversal of 144006772 is 277600441.

144006772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144006773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862233 + ... + 862399.

It is an arithmetic number, because the mean of its divisors is an integer number (3424512).

Almost surely, 2^144006772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144006772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164376576).

144006772 is an abundant number, since it is smaller than the sum of its proper divisors (184746380).

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

144006772 is a wasteful number, since it uses less digits than its factorization.

144006772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 144006772 is about 12000.2821633493. The cubic root of 144006772 is about 524.1564952226.

The spelling of 144006772 in words is "one hundred forty-four million, six thousand, seven hundred seventy-two".