144772032 has 112 divisors (see below), whose sum is σ = 399117312. Its totient is φ = 46279680.

The previous prime is 144772027. The next prime is 144772037. The reversal of 144772032 is 230277441.

It is an interprime number because it is at equal distance from previous prime (144772027) and next prime (144772037).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144772037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550333 + ... + 550595.

Almost surely, 2^144772032 is an apocalyptic number.

144772032 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 144772032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199558656).

144772032 is an abundant number, since it is smaller than the sum of its proper divisors (254345280).

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

144772032 is a wasteful number, since it uses less digits than its factorization.

144772032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 144772032 is about 12032.1249993507. The cubic root of 144772032 is about 525.0833210161.

The spelling of 144772032 in words is "one hundred forty-four million, seven hundred seventy-two thousand, thirty-two".