72799104 has 192 divisors, whose sum is σ = 232327440. Its totient is φ = 20127744.

The previous prime is 72799079. The next prime is 72799123. The reversal of 72799104 is 40199727.

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

It is a congruent number.

It is an unprimeable number.

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, 997212 + ... + 997284.

Almost surely, 2^72799104 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 72799104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116163720).

72799104 is an abundant number, since it is smaller than the sum of its proper divisors (159528336).

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

72799104 is a wasteful number, since it uses less digits than its factorization.

72799104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 72799104 is about 8532.2390965092. The cubic root of 72799104 is about 417.5501826922.

The spelling of 72799104 in words is "seventy-two million, seven hundred ninety-nine thousand, one hundred four".