72229411620 has 288 divisors, whose sum is σ = 244514350080. Its totient is φ = 17180605440.

The previous prime is 72229411613. The next prime is 72229411627. The reversal of 72229411620 is 2611492227.

72229411620 is a `hidden beast` number, since 7 + 2 + 2 + 29 + 4 + 1 + 1 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (72229411613) and next prime (72229411627).

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

It is not an unprimeable number, because it can be changed into a prime (72229411627) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3913534 + ... + 3931946.

It is an arithmetic number, because the mean of its divisors is an integer number (849008160).

Almost surely, 2^72229411620 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 72229411620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122257175040).

72229411620 is an abundant number, since it is smaller than the sum of its proper divisors (172284938460).

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

72229411620 is a wasteful number, since it uses less digits than its factorization.

72229411620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18515 (or 18510 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 72229411620 in words is "seventy-two billion, two hundred twenty-nine million, four hundred eleven thousand, six hundred twenty".