72290304 has 156 divisors (see below), whose sum is σ = 218503116. Its totient is φ = 23003136.

The previous prime is 72290297. The next prime is 72290321. The reversal of 72290304 is 40309227.

72290304 is a `hidden beast` number, since 72 + 290 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58982400 + 13307904 = 7680^2 + 3648^2 .

It is a super-3 number, since 3×72290304³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1363942 + ... + 1363994.

It is an arithmetic number, because the mean of its divisors is an integer number (1400661).

Almost surely, 2^72290304 is an apocalyptic number.

72290304 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72290304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109251558).

72290304 is an abundant number, since it is smaller than the sum of its proper divisors (146212812).

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

72290304 is a wasteful number, since it uses less digits than its factorization.

72290304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 72290304 is about 8502.3704929861. The cubic root of 72290304 is about 416.5751413547.

The spelling of 72290304 in words is "seventy-two million, two hundred ninety thousand, three hundred four".