72927888 has 80 divisors (see below), whose sum is σ = 211135296. Its totient is φ = 21496320.

The previous prime is 72927887. The next prime is 72927919. The reversal of 72927888 is 88872927.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 72927888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72927887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17670 + ... + 21402.

Almost surely, 2^72927888 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 72927888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105567648).

72927888 is an abundant number, since it is smaller than the sum of its proper divisors (138207408).

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

72927888 is a wasteful number, since it uses less digits than its factorization.

72927888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3786 counting only the distinct ones).

The product of its digits is 903168, while the sum is 51.

The square root of 72927888 is about 8539.7826670238. The cubic root of 72927888 is about 417.7962576286.

The spelling of 72927888 in words is "seventy-two million, nine hundred twenty-seven thousand, eight hundred eighty-eight".