72840100 has 36 divisors (see below), whose sum is σ = 160667668. Its totient is φ = 28656000.

The previous prime is 72840077. The next prime is 72840127. The reversal of 72840100 is 104827.

It can be written as a sum of positive squares in 6 ways, for example, as 21086464 + 51753636 = 4592^2 + 7194^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130 + ... + 12070.

Almost surely, 2^72840100 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 72840100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80333834).

72840100 is an abundant number, since it is smaller than the sum of its proper divisors (87827568).

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

72840100 is a wasteful number, since it uses less digits than its factorization.

72840100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12016 (or 12009 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 72840100 is about 8534.6411758199. The cubic root of 72840100 is about 417.6285475535.

Adding to 72840100 its reverse (104827), we get a palindrome (72944927).

The spelling of 72840100 in words is "seventy-two million, eight hundred forty thousand, one hundred".