72306144 has 36 divisors (see below), whose sum is σ = 205621416. Its totient is φ = 24101952.

The previous prime is 72306137. The next prime is 72306149. The reversal of 72306144 is 44160327.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72306149) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 125244 + ... + 125819.

It is an arithmetic number, because the mean of its divisors is an integer number (5711706).

Almost surely, 2^72306144 is an apocalyptic number.

It is an amenable number.

72306144 is an abundant number, since it is smaller than the sum of its proper divisors (133315272).

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

72306144 is a wasteful number, since it uses less digits than its factorization.

72306144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251079 (or 251068 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72306144 is about 8503.3019468910. The cubic root of 72306144 is about 416.6055652981.

The spelling of 72306144 in words is "seventy-two million, three hundred six thousand, one hundred forty-four".