72616320 has 192 divisors, whose sum is σ = 286734240. Its totient is φ = 16588800.

The previous prime is 72616279. The next prime is 72616351. The reversal of 72616320 is 2361627.

It is a happy number.

72616320 is a `hidden beast` number, since 7 + 26 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 39420 + ... + 41220.

Almost surely, 2^72616320 is an apocalyptic number.

72616320 is a gapful number since it is divisible by the number (70) 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 72616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143367120).

72616320 is an abundant number, since it is smaller than the sum of its proper divisors (214117920).

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

72616320 is a wasteful number, since it uses less digits than its factorization.

72616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1818 counting only the distinct ones).

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

The square root of 72616320 is about 8521.5209909969. The cubic root of 72616320 is about 417.2004281227.

Adding to 72616320 its reverse (2361627), we get a palindrome (74977947).

The spelling of 72616320 in words is "seventy-two million, six hundred sixteen thousand, three hundred twenty".