7272164551680 has 1760 divisors, whose sum is σ = 32368450498560. Its totient is φ = 1523568476160.

The previous prime is 7272164551651. The next prime is 7272164551721. The reversal of 7272164551680 is 861554612727.

It is a happy number.

7272164551680 is a `hidden beast` number, since 7 + 2 + 7 + 2 + 1 + 6 + 4 + 551 + 6 + 80 = 666.

It is a super-2 number, since 2×7272164551680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1709888434 + ... + 1709892686.

It is an arithmetic number, because the mean of its divisors is an integer number (18391165056).

Almost surely, 2^{7272164551680} is an apocalyptic number.

7272164551680 is a gapful number since it is divisible by the number (70) 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 7272164551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16184225249280).

7272164551680 is an abundant number, since it is smaller than the sum of its proper divisors (25096285946880).

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

7272164551680 is a wasteful number, since it uses less digits than its factorization.

7272164551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4347 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 7272164551680 in words is "seven trillion, two hundred seventy-two billion, one hundred sixty-four million, five hundred fifty-one thousand, six hundred eighty".