72818928 has 120 divisors (see below), whose sum is σ = 250865888. Its totient is φ = 19201536.

The previous prime is 72818891. The next prime is 72818929. The reversal of 72818928 is 82981827.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72818929) by changing a digit.

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, 10326 + ... + 15882.

Almost surely, 2^72818928 is an apocalyptic number.

72818928 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72818928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125432944).

72818928 is an abundant number, since it is smaller than the sum of its proper divisors (178046960).

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

72818928 is a wasteful number, since it uses less digits than its factorization.

72818928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591 (or 5582 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 72818928 is about 8533.4007289005. The cubic root of 72818928 is about 417.5880804278.

The spelling of 72818928 in words is "seventy-two million, eight hundred eighteen thousand, nine hundred twenty-eight".