72288144 has 30 divisors (see below), whose sum is σ = 202306806. Its totient is φ = 24096000.

The previous prime is 72288133. The next prime is 72288163. The reversal of 72288144 is 44188227.

It can be written as a sum of positive squares in only one way, i.e., 66585600 + 5702544 = 8160^2 + 2388^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 72288099 and 72288108.

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, 250857 + ... + 251144.

Almost surely, 2^72288144 is an apocalyptic number.

It is an amenable number.

72288144 is an abundant number, since it is smaller than the sum of its proper divisors (130018662).

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

72288144 is a wasteful number, since it uses less digits than its factorization.

72288144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502015 (or 502006 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 72288144 is about 8502.2434686381. The cubic root of 72288144 is about 416.5709922909.

The spelling of 72288144 in words is "seventy-two million, two hundred eighty-eight thousand, one hundred forty-four".