72217800 has 144 divisors (see below), whose sum is σ = 247433940. Its totient is φ = 18869760.

The previous prime is 72217793. The next prime is 72217813. The reversal of 72217800 is 871227.

It can be written as a sum of positive squares in 6 ways, for example, as 38415204 + 33802596 = 6198^2 + 5814^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95022 + ... + 95778.

Almost surely, 2^72217800 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 72217800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123716970).

72217800 is an abundant number, since it is smaller than the sum of its proper divisors (175216140).

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

72217800 is a wasteful number, since it uses less digits than its factorization.

72217800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 72217800 is about 8498.1056712658. The cubic root of 72217800 is about 416.4358259115.

It can be divided in two parts, 72 and 217800, that multiplied together give a square (15681600 = 3960²).

The spelling of 72217800 in words is "seventy-two million, two hundred seventeen thousand, eight hundred".