72120386322 has 48 divisors (see below), whose sum is σ = 165475015992. Its totient is φ = 22622945280.

The previous prime is 72120386321. The next prime is 72120386323. The reversal of 72120386322 is 22368302127.

72120386322 is a `hidden beast` number, since 7 + 2 + 12 + 0 + 3 + 8 + 632 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (72120386321) and next prime (72120386323).

It can be written as a sum of positive squares in 4 ways, for example, as 70686325161 + 1434061161 = 265869^2 + 37869^2 .

It is not an unprimeable number, because it can be changed into a prime (72120386321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3564298 + ... + 3584474.

Almost surely, 2^72120386322 is an apocalyptic number.

72120386322 is an abundant number, since it is smaller than the sum of its proper divisors (93354629670).

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

72120386322 is a wasteful number, since it uses less digits than its factorization.

72120386322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31883 (or 31880 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 72120386322 its reverse (22368302127), we get a palindrome (94488688449).

The spelling of 72120386322 in words is "seventy-two billion, one hundred twenty million, three hundred eighty-six thousand, three hundred twenty-two".