72233304 has 96 divisors (see below), whose sum is σ = 213451200. Its totient is φ = 20192640.

The previous prime is 72233297. The next prime is 72233309. The reversal of 72233304 is 40333227.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72233309) 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 23 ways as a sum of consecutive naturals, for example, 43807 + ... + 45425.

It is an arithmetic number, because the mean of its divisors is an integer number (2223450).

Almost surely, 2^72233304 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 72233304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106725600).

72233304 is an abundant number, since it is smaller than the sum of its proper divisors (141217896).

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

72233304 is a wasteful number, since it uses less digits than its factorization.

72233304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 24.

The square root of 72233304 is about 8499.0178256079. The cubic root of 72233304 is about 416.4656244703.

The spelling of 72233304 in words is "seventy-two million, two hundred thirty-three thousand, three hundred four".