72825984 has 192 divisors, whose sum is σ = 261593280. Its totient is φ = 18892800.

The previous prime is 72825967. The next prime is 72826007. The reversal of 72825984 is 48952827.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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, 88294 + ... + 89114.

It is an arithmetic number, because the mean of its divisors is an integer number (1362465).

Almost surely, 2^72825984 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 72825984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130796640).

72825984 is an abundant number, since it is smaller than the sum of its proper divisors (188767296).

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

72825984 is a wasteful number, since it uses less digits than its factorization.

72825984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 844 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 72825984 is about 8533.8141531205. The cubic root of 72825984 is about 417.6015677926.

The spelling of 72825984 in words is "seventy-two million, eight hundred twenty-five thousand, nine hundred eighty-four".