72728448 has 128 divisors (see below), whose sum is σ = 220540320. Its totient is φ = 21037056.

The previous prime is 72728419. The next prime is 72728471. The reversal of 72728448 is 84482727.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84436 + ... + 85292.

Almost surely, 2^72728448 is an apocalyptic number.

72728448 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 72728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110270160).

72728448 is an abundant number, since it is smaller than the sum of its proper divisors (147811872).

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

72728448 is a wasteful number, since it uses less digits than its factorization.

72728448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 892 counting only the distinct ones).

The product of its digits is 200704, while the sum is 42.

The square root of 72728448 is about 8528.0975604176. The cubic root of 72728448 is about 417.4150529362.

The spelling of 72728448 in words is "seventy-two million, seven hundred twenty-eight thousand, four hundred forty-eight".