72984912 has 320 divisors, whose sum is σ = 266649600. Its totient is φ = 16934400.

The previous prime is 72984887. The next prime is 72984929. The reversal of 72984912 is 21948927.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2354337 + ... + 2354367.

It is an arithmetic number, because the mean of its divisors is an integer number (833280).

Almost surely, 2^72984912 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 72984912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133324800).

72984912 is an abundant number, since it is smaller than the sum of its proper divisors (193664688).

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

72984912 is a wasteful number, since it uses less digits than its factorization.

72984912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 67 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 72984912 is about 8543.1207412748. The cubic root of 72984912 is about 417.9051241063.

The spelling of 72984912 in words is "seventy-two million, nine hundred eighty-four thousand, nine hundred twelve".