72800100 has 144 divisors (see below), whose sum is σ = 238526400. Its totient is φ = 19042560.

The previous prime is 72800089. The next prime is 72800113. The reversal of 72800100 is 100827.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 159072 + ... + 159528.

Almost surely, 2^72800100 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 72800100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119263200).

72800100 is an abundant number, since it is smaller than the sum of its proper divisors (165726300).

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

72800100 is a wasteful number, since it uses less digits than its factorization.

72800100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 72800100 is about 8532.2974631690. The cubic root of 72800100 is about 417.5520869194.

Adding to 72800100 its reverse (100827), we get a palindrome (72900927).

It can be divided in two parts, 72800 and 100, that added together give a square (72900 = 270²).

The spelling of 72800100 in words is "seventy-two million, eight hundred thousand, one hundred".