72812196 has 30 divisors (see below), whose sum is σ = 190346310. Its totient is φ = 24270624.

The previous prime is 72812147. The next prime is 72812197. The reversal of 72812196 is 69121827.

It can be written as a sum of positive squares in only one way, i.e., 65028096 + 7784100 = 8064^2 + 2790^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72812196.

It is not an unprimeable number, because it can be changed into a prime (72812197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 112041 + ... + 112688.

It is an arithmetic number, because the mean of its divisors is an integer number (6344877).

Almost surely, 2^72812196 is an apocalyptic number.

It is an amenable number.

72812196 is an abundant number, since it is smaller than the sum of its proper divisors (117534114).

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

72812196 is a wasteful number, since it uses less digits than its factorization.

72812196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224745 (or 224734 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 72812196 is about 8533.0062697739. The cubic root of 72812196 is about 417.5752115686.

The spelling of 72812196 in words is "seventy-two million, eight hundred twelve thousand, one hundred ninety-six".