144531072 has 96 divisors (see below), whose sum is σ = 475344480. Its totient is φ = 41292288.

The previous prime is 144531047. The next prime is 144531091. The reversal of 144531072 is 270135441.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 898 + ... + 17025.

It is an arithmetic number, because the mean of its divisors is an integer number (4951505).

Almost surely, 2^144531072 is an apocalyptic number.

144531072 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 144531072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237672240).

144531072 is an abundant number, since it is smaller than the sum of its proper divisors (330813408).

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

144531072 is a wasteful number, since it uses less digits than its factorization.

144531072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17950 (or 17935 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 144531072 is about 12022.1076355188. The cubic root of 144531072 is about 524.7918412870.

The spelling of 144531072 in words is "one hundred forty-four million, five hundred thirty-one thousand, seventy-two".