72213757308 has 168 divisors, whose sum is σ = 236228603520. Its totient is φ = 18756761760.

The previous prime is 72213757303. The next prime is 72213757313. The reversal of 72213757308 is 80375731227.

It is a happy number.

72213757308 is a `hidden beast` number, since 72 + 2 + 1 + 3 + 7 + 573 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (72213757303) and next prime (72213757313).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72213757303) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 63723 + ... + 385341.

It is an arithmetic number, because the mean of its divisors is an integer number (1406122640).

Almost surely, 2^72213757308 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 72213757308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118114301760).

72213757308 is an abundant number, since it is smaller than the sum of its proper divisors (164014846212).

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

72213757308 is a wasteful number, since it uses less digits than its factorization.

72213757308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321659 (or 321642 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 72213757308 in words is "seventy-two billion, two hundred thirteen million, seven hundred fifty-seven thousand, three hundred eight".