72289112 has 48 divisors (see below), whose sum is σ = 163134000. Its totient is φ = 29908032.

The previous prime is 72289111. The next prime is 72289159. The reversal of 72289112 is 21198227.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72289111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8189 + ... + 14547.

It is an arithmetic number, because the mean of its divisors is an integer number (3398625).

Almost surely, 2^72289112 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 72289112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81567000).

72289112 is an abundant number, since it is smaller than the sum of its proper divisors (90844888).

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

72289112 is a wasteful number, since it uses less digits than its factorization.

72289112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6408 (or 6397 counting only the distinct ones).

The product of its digits is 4032, while the sum is 32.

The square root of 72289112 is about 8502.3003945991. The cubic root of 72289112 is about 416.5728516964.

The spelling of 72289112 in words is "seventy-two million, two hundred eighty-nine thousand, one hundred twelve".