72404112 has 80 divisors (see below), whose sum is σ = 205254720. Its totient is φ = 21811200.

The previous prime is 72404107. The next prime is 72404141. The reversal of 72404112 is 21140427.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126964 + ... + 127532.

It is an arithmetic number, because the mean of its divisors is an integer number (2565684).

Almost surely, 2^72404112 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 72404112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102627360).

72404112 is an abundant number, since it is smaller than the sum of its proper divisors (132850608).

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

72404112 is a wasteful number, since it uses less digits than its factorization.

72404112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 72404112 is about 8509.0605826965. The cubic root of 72404112 is about 416.7936341241.

Adding to 72404112 its reverse (21140427), we get a palindrome (93544539).

The spelling of 72404112 in words is "seventy-two million, four hundred four thousand, one hundred twelve".