72184928 has 48 divisors (see below), whose sum is σ = 149615424. Its totient is φ = 34237440.

The previous prime is 72184927. The next prime is 72184939. The reversal of 72184928 is 82948127.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72184921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 47801 + ... + 49287.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988).

Almost surely, 2^72184928 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 72184928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74807712).

72184928 is an abundant number, since it is smaller than the sum of its proper divisors (77430496).

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

72184928 is a wasteful number, since it uses less digits than its factorization.

72184928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1567 counting only the distinct ones).

The product of its digits is 64512, while the sum is 41.

The square root of 72184928 is about 8496.1713730362. The cubic root of 72184928 is about 416.3726320914.

The spelling of 72184928 in words is "seventy-two million, one hundred eighty-four thousand, nine hundred twenty-eight".