72718100 has 144 divisors (see below), whose sum is σ = 198903936. Its totient is φ = 22464000.

The previous prime is 72718097. The next prime is 72718123. The reversal of 72718100 is 181727.

It is a super-4 number, since 4×72718100⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 72718100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555035 + ... + 555165.

Almost surely, 2^72718100 is an apocalyptic number.

72718100 is a gapful number since it is divisible by the number (70) 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 72718100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99451968).

72718100 is an abundant number, since it is smaller than the sum of its proper divisors (126185836).

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

72718100 is a wasteful number, since it uses less digits than its factorization.

72718100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 26.

The square root of 72718100 is about 8527.4908384589. The cubic root of 72718100 is about 417.3952550168.

Adding to 72718100 its reverse (181727), we get a palindrome (72899827).

The spelling of 72718100 in words is "seventy-two million, seven hundred eighteen thousand, one hundred".