72680384 has 56 divisors (see below), whose sum is σ = 167993568. Its totient is φ = 30551040.

The previous prime is 72680353. The next prime is 72680407. The reversal of 72680384 is 48308627.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22214 + ... + 25274.

Almost surely, 2^72680384 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 72680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83996784).

72680384 is an abundant number, since it is smaller than the sum of its proper divisors (95313184).

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

72680384 is a wasteful number, since it uses less digits than its factorization.

72680384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 72680384 is about 8525.2791156654. The cubic root of 72680384 is about 417.3230804051.

The spelling of 72680384 in words is "seventy-two million, six hundred eighty thousand, three hundred eighty-four".