72786220 has 48 divisors (see below), whose sum is σ = 165943008. Its totient is φ = 26657280.

The previous prime is 72786209. The next prime is 72786223. The reversal of 72786220 is 2268727.

It is not an unprimeable number, because it can be changed into a prime (72786223) 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 15 ways as a sum of consecutive naturals, for example, 32992 + ... + 35128.

It is an arithmetic number, because the mean of its divisors is an integer number (3457146).

Almost surely, 2^72786220 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 72786220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82971504).

72786220 is an abundant number, since it is smaller than the sum of its proper divisors (93156788).

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

72786220 is a wasteful number, since it uses less digits than its factorization.

72786220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 72786220 is about 8531.4840444087. The cubic root of 72786220 is about 417.5255485340.

The spelling of 72786220 in words is "seventy-two million, seven hundred eighty-six thousand, two hundred twenty".