72794112 has 60 divisors (see below), whose sum is σ = 194242776. Its totient is φ = 24248320.

The previous prime is 72794101. The next prime is 72794143. The reversal of 72794112 is 21149727.

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 3 ways as a sum of consecutive naturals, for example, 48412 + ... + 49892.

Almost surely, 2^72794112 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 72794112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97121388).

72794112 is an abundant number, since it is smaller than the sum of its proper divisors (121448664).

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

72794112 is an equidigital number, since it uses as much as digits as its factorization.

72794112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1486 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 72794112 is about 8531.9465539817. The cubic root of 72794112 is about 417.5406383524.

The spelling of 72794112 in words is "seventy-two million, seven hundred ninety-four thousand, one hundred twelve".