72793188 has 96 divisors (see below), whose sum is σ = 205251200. Its totient is φ = 22177152.

The previous prime is 72793159. The next prime is 72793211. The reversal of 72793188 is 88139727.

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 31 ways as a sum of consecutive naturals, for example, 194970 + ... + 195342.

Almost surely, 2^72793188 is an apocalyptic number.

72793188 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 72793188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102625600).

72793188 is an abundant number, since it is smaller than the sum of its proper divisors (132458012).

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

72793188 is a wasteful number, since it uses less digits than its factorization.

72793188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 530 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 72793188 is about 8531.8924043849. The cubic root of 72793188 is about 417.5388716840.

The spelling of 72793188 in words is "seventy-two million, seven hundred ninety-three thousand, one hundred eighty-eight".