72836928 has 112 divisors (see below), whose sum is σ = 217952320. Its totient is φ = 23846400.

The previous prime is 72836921. The next prime is 72836947. The reversal of 72836928 is 82963827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72836921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105063 + ... + 105753.

Almost surely, 2^72836928 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 72836928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108976160).

72836928 is an abundant number, since it is smaller than the sum of its proper divisors (145115392).

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

72836928 is a wasteful number, since it uses less digits than its factorization.

72836928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 757 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 72836928 is about 8534.4553429027. The cubic root of 72836928 is about 417.6224852472.

The spelling of 72836928 in words is "seventy-two million, eight hundred thirty-six thousand, nine hundred twenty-eight".