72144804 has 72 divisors (see below), whose sum is σ = 181960128. Its totient is φ = 22238720.

The previous prime is 72144791. The next prime is 72144869. The reversal of 72144804 is 40844127.

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 23 ways as a sum of consecutive naturals, for example, 246082 + ... + 246374.

It is an arithmetic number, because the mean of its divisors is an integer number (2527224).

Almost surely, 2^72144804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72144804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90980064).

72144804 is an abundant number, since it is smaller than the sum of its proper divisors (109815324).

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

72144804 is a wasteful number, since it uses less digits than its factorization.

72144804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 72144804 is about 8493.8097459267. The cubic root of 72144804 is about 416.2954708688.

The spelling of 72144804 in words is "seventy-two million, one hundred forty-four thousand, eight hundred four".