72165345336000 has 3584 divisors, whose sum is σ = 322084159488000. Its totient is φ = 15473203200000.

The previous prime is 72165345335939. The next prime is 72165345336031. The reversal of 72165345336000 is 63354356127.

It is a happy number.

72165345336000 is a `hidden beast` number, since 7 + 2 + 1 + 6 + 5 + 3 + 4 + 5 + 33 + 600 + 0 = 666.

72165345336000 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 287511335875 + ... + 287511336125.

It is an arithmetic number, because the mean of its divisors is an integer number (89867232000).

Almost surely, 2^{72165345336000} is an apocalyptic number.

72165345336000 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 72165345336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161042079744000).

72165345336000 is an abundant number, since it is smaller than the sum of its proper divisors (249918814152000).

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

72165345336000 is a wasteful number, since it uses less digits than its factorization.

72165345336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 72165345336000 in words is "seventy-two trillion, one hundred sixty-five billion, three hundred forty-five million, three hundred thirty-six thousand".