72183888 has 120 divisors (see below), whose sum is σ = 243089600. Its totient is φ = 19533312.

The previous prime is 72183851. The next prime is 72183893. The reversal of 72183888 is 88838127.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17268 + ... + 21036.

Almost surely, 2^72183888 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 72183888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121544800).

72183888 is an abundant number, since it is smaller than the sum of its proper divisors (170905712).

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

72183888 is a wasteful number, since it uses less digits than its factorization.

72183888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809 (or 3800 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 72183888 is about 8496.1101687772. The cubic root of 72183888 is about 416.3706324606.

The spelling of 72183888 in words is "seventy-two million, one hundred eighty-three thousand, eight hundred eighty-eight".