144307872 has 48 divisors (see below), whose sum is σ = 420900480. Its totient is φ = 48102336.

The previous prime is 144307843. The next prime is 144307901. The reversal of 144307872 is 278703441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144307843) and next prime (144307901).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82648 + ... + 84375.

It is an arithmetic number, because the mean of its divisors is an integer number (8768760).

Almost surely, 2^144307872 is an apocalyptic number.

144307872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144307872 is an abundant number, since it is smaller than the sum of its proper divisors (276592608).

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

144307872 is a wasteful number, since it uses less digits than its factorization.

144307872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167042 (or 167028 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 144307872 is about 12012.8211507539. The cubic root of 144307872 is about 524.5215559526.

The spelling of 144307872 in words is "one hundred forty-four million, three hundred seven thousand, eight hundred seventy-two".