72219761352 has 396 divisors, whose sum is σ = 225556901745. Its totient is φ = 21672085248.

The previous prime is 72219761333. The next prime is 72219761353. The reversal of 72219761352 is 25316791227.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

72219761352 is a `hidden beast` number, since 7 + 2 + 21 + 9 + 7 + 613 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66097324836 + 6122436516 = 257094^2 + 78246^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=190026.

Its product of digits (317520) is a multiple of the sum of its prime divisors (45).

It is a junction number, because it is equal to n+sod(n) for n = 72219761298 and 72219761307.

It is not an unprimeable number, because it can be changed into a prime (72219761353) 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 98 ways as a sum of consecutive naturals, for example, 3139989613 + ... + 3139989635.

Almost surely, 2^72219761352 is an apocalyptic number.

72219761352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72219761352

72219761352 is an abundant number, since it is smaller than the sum of its proper divisors (153337140393).

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

72219761352 is an equidigital number, since it uses as much as digits as its factorization.

72219761352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 45 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The spelling of 72219761352 in words is "seventy-two billion, two hundred nineteen million, seven hundred sixty-one thousand, three hundred fifty-two".