72876288 has 72 divisors (see below), whose sum is σ = 200279296. Its totient is φ = 23500800.

The previous prime is 72876281. The next prime is 72876301. The reversal of 72876288 is 88267827.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (72876281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22278 + ... + 25338.

Almost surely, 2^72876288 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 72876288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100139648).

72876288 is an abundant number, since it is smaller than the sum of its proper divisors (127403008).

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

72876288 is a wasteful number, since it uses less digits than its factorization.

72876288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3097 counting only the distinct ones).

The product of its digits is 602112, while the sum is 48.

The square root of 72876288 is about 8536.7609782634. The cubic root of 72876288 is about 417.6976973751.

The spelling of 72876288 in words is "seventy-two million, eight hundred seventy-six thousand, two hundred eighty-eight".