72933120 has 216 divisors, whose sum is σ = 272309856. Its totient is φ = 17915904.

The previous prime is 72933109. The next prime is 72933121. The reversal of 72933120 is 2133927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72933121) 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, 149517 + ... + 150003.

Almost surely, 2^72933120 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 72933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136154928).

72933120 is an abundant number, since it is smaller than the sum of its proper divisors (199376736).

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

72933120 is a wasteful number, since it uses less digits than its factorization.

72933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 72933120 is about 8540.0889925106. The cubic root of 72933120 is about 417.8062485837.

The spelling of 72933120 in words is "seventy-two million, nine hundred thirty-three thousand, one hundred twenty".