72818100 has 54 divisors (see below), whose sum is σ = 228247110. Its totient is φ = 19417920.

The previous prime is 72818099. The next prime is 72818111. The reversal of 72818100 is 181827.

It can be written as a sum of positive squares in 3 ways, for example, as 2056356 + 70761744 = 1434^2 + 8412^2 .

It is a super-2 number, since 2×72818100² = 10604951375220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39555 + ... + 41354.

Almost surely, 2^72818100 is an apocalyptic number.

It is an amenable number.

72818100 is an abundant number, since it is smaller than the sum of its proper divisors (155429010).

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

72818100 is a wasteful number, since it uses less digits than its factorization.

72818100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80929 (or 80919 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 72818100 is about 8533.3522135208. The cubic root of 72818100 is about 417.5864976697.

Adding to 72818100 its reverse (181827), we get a palindrome (72999927).

The spelling of 72818100 in words is "seventy-two million, eight hundred eighteen thousand, one hundred".