72056196 has 48 divisors (see below), whose sum is σ = 189463680. Its totient is φ = 23677920.

The previous prime is 72056191. The next prime is 72056233. The reversal of 72056196 is 69165027.

72056196 is a `hidden beast` number, since 7 + 2 + 0 + 561 + 96 = 666.

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 72056196.

It is not an unprimeable number, because it can be changed into a prime (72056191) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2970 + ... + 12366.

It is an arithmetic number, because the mean of its divisors is an integer number (3947160).

Almost surely, 2^72056196 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 72056196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94731840).

72056196 is an abundant number, since it is smaller than the sum of its proper divisors (117407484).

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

72056196 is a wasteful number, since it uses less digits than its factorization.

72056196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9481 (or 9473 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 72056196 is about 8488.5921094137. The cubic root of 72056196 is about 416.1249701587.

The spelling of 72056196 in words is "seventy-two million, fifty-six thousand, one hundred ninety-six".