144872672000 has 432 divisors, whose sum is σ = 426819871296. Its totient is φ = 47996928000.

The previous prime is 144872671967. The next prime is 144872672033. The reversal of 144872672000 is 276278441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144872671967) and next prime (144872672033).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215263664 + ... + 215264336.

Almost surely, 2^144872672000 is an apocalyptic number.

144872672000 is a gapful number since it is divisible by the number (10) 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 144872672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213409935648).

144872672000 is an abundant number, since it is smaller than the sum of its proper divisors (281947199296).

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

144872672000 is an frugal number, since it uses more digits than its factorization.

144872672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The spelling of 144872672000 in words is "one hundred forty-four billion, eight hundred seventy-two million, six hundred seventy-two thousand".