72391260708000 has 480 divisors, whose sum is σ = 286138539807120. Its totient is φ = 17819386214400.

The previous prime is 72391260707929. The next prime is 72391260708001. The reversal of 72391260708000 is 80706219327.

72391260708000 is a `hidden beast` number, since 7 + 2 + 39 + 1 + 2 + 607 + 0 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5974563381264 + 66416697326736 = 2444292^2 + 8149644^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×72391260708000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (72391260708001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4381455 + ... + 12805454.

Almost surely, 2^{72391260708000} is an apocalyptic number.

It is an amenable number.

72391260708000 is an abundant number, since it is smaller than the sum of its proper divisors (213747279099120).

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

72391260708000 is a wasteful number, since it uses less digits than its factorization.

72391260708000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17186959 (or 17186932 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 72391260708000 in words is "seventy-two trillion, three hundred ninety-one billion, two hundred sixty million, seven hundred eight thousand".