144072456 has 64 divisors (see below), whose sum is σ = 394260480. Its totient is φ = 43510080.

The previous prime is 144072443. The next prime is 144072457. The reversal of 144072456 is 654270441.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (144072457) 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, 96145 + ... + 97631.

It is an arithmetic number, because the mean of its divisors is an integer number (6160320).

Almost surely, 2^144072456 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 144072456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197130240).

144072456 is an abundant number, since it is smaller than the sum of its proper divisors (250188024).

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

144072456 is a wasteful number, since it uses less digits than its factorization.

144072456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 144072456 is about 12003.0186203305. The cubic root of 144072456 is about 524.2361754153.

The spelling of 144072456 in words is "one hundred forty-four million, seventy-two thousand, four hundred fifty-six".