72359118 has 48 divisors (see below), whose sum is σ = 174676320. Its totient is φ = 21494592.

The previous prime is 72359113. The next prime is 72359143. The reversal of 72359118 is 81195327.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72359113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1455 + ... + 12117.

It is an arithmetic number, because the mean of its divisors is an integer number (3639090).

Almost surely, 2^72359118 is an apocalyptic number.

72359118 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 72359118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87338160).

72359118 is an abundant number, since it is smaller than the sum of its proper divisors (102317202).

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

72359118 is a wasteful number, since it uses less digits than its factorization.

72359118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10713 (or 10710 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 72359118 is about 8506.4162841939. The cubic root of 72359118 is about 416.7072803789.

The spelling of 72359118 in words is "seventy-two million, three hundred fifty-nine thousand, one hundred eighteen".