72147232567620 has 216 divisors, whose sum is σ = 263355170059800. Its totient is φ = 15922147820544.

The previous prime is 72147232567541. The next prime is 72147232567621. The reversal of 72147232567620 is 2676523274127.

72147232567620 is a `hidden beast` number, since 7 + 2 + 1 + 4 + 7 + 2 + 3 + 2 + 5 + 6 + 7 + 620 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1606282481664 + 70540950085956 = 1267392^2 + 8398866^2 .

It is not an unprimeable number, because it can be changed into a prime (72147232567621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 140777985 + ... + 141289544.

It is an arithmetic number, because the mean of its divisors is an integer number (1219236898425).

Almost surely, 2^{72147232567620} is an apocalyptic number.

72147232567620 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72147232567620 is an abundant number, since it is smaller than the sum of its proper divisors (191207937492180).

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

72147232567620 is a wasteful number, since it uses less digits than its factorization.

72147232567620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282067587 (or 282067575 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 72147232567620 in words is "seventy-two trillion, one hundred forty-seven billion, two hundred thirty-two million, five hundred sixty-seven thousand, six hundred twenty".