144207072 has 36 divisors (see below), whose sum is σ = 410089680. Its totient is φ = 48068928.

The previous prime is 144207067. The next prime is 144207113. The reversal of 144207072 is 270702441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×144207072² = 41591359229626368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250072 + ... + 250647.

It is an arithmetic number, because the mean of its divisors is an integer number (11391380).

Almost surely, 2^144207072 is an apocalyptic number.

144207072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144207072 is an abundant number, since it is smaller than the sum of its proper divisors (265882608).

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

144207072 is a wasteful number, since it uses less digits than its factorization.

144207072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500735 (or 500724 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 144207072 is about 12008.6249004622. The cubic root of 144207072 is about 524.3994002510.

The spelling of 144207072 in words is "one hundred forty-four million, two hundred seven thousand, seventy-two".