72788118 has 48 divisors (see below), whose sum is σ = 166590480. Its totient is φ = 21072384.

The previous prime is 72788113. The next prime is 72788153. The reversal of 72788118 is 81188727.

It is a super-2 number, since 2×72788118² = 10596220243963848, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72788118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72788113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20928 + ... + 24156.

It is an arithmetic number, because the mean of its divisors is an integer number (3470635).

Almost surely, 2^72788118 is an apocalyptic number.

72788118 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72788118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83295240).

72788118 is an abundant number, since it is smaller than the sum of its proper divisors (93802362).

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

72788118 is a wasteful number, since it uses less digits than its factorization.

72788118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3281 (or 3264 counting only the distinct ones).

The product of its digits is 50176, while the sum is 42.

The square root of 72788118 is about 8531.5952787272. The cubic root of 72788118 is about 417.5291776852.

The spelling of 72788118 in words is "seventy-two million, seven hundred eighty-eight thousand, one hundred eighteen".