72928384 has 64 divisors (see below), whose sum is σ = 154713600. Its totient is φ = 34145280.

The previous prime is 72928379. The next prime is 72928391. The reversal of 72928384 is 48382927.

72928384 = T₄₁₇ + T₄₁₈ + ... + T₇₉₈.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 72928384.

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, 381729 + ... + 381919.

It is an arithmetic number, because the mean of its divisors is an integer number (2417400).

Almost surely, 2^72928384 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 72928384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77356800).

72928384 is an abundant number, since it is smaller than the sum of its proper divisors (81785216).

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

72928384 is a wasteful number, since it uses less digits than its factorization.

72928384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 369 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 72928384 is about 8539.8117075261. The cubic root of 72928384 is about 417.7972048039.

The spelling of 72928384 in words is "seventy-two million, nine hundred twenty-eight thousand, three hundred eighty-four".