72462394368000 has 3584 divisors, whose sum is σ = 334699122401280. Its totient is φ = 15061037875200.

The previous prime is 72462394367969. The next prime is 72462394368017. The reversal of 72462394368000 is 86349326427.

72462394368000 is a `hidden beast` number, since 7 + 2 + 4 + 623 + 9 + 4 + 3 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

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 255 ways as a sum of consecutive naturals, for example, 208825343827 + ... + 208825344173.

It is an arithmetic number, because the mean of its divisors is an integer number (93387031920).

Almost surely, 2^{72462394368000} is an apocalyptic number.

72462394368000 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 72462394368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167349561200640).

72462394368000 is an abundant number, since it is smaller than the sum of its proper divisors (262236728033280).

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

72462394368000 is a wasteful number, since it uses less digits than its factorization.

72462394368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 72462394368000 in words is "seventy-two trillion, four hundred sixty-two billion, three hundred ninety-four million, three hundred sixty-eight thousand".