72946425825000 has 1536 divisors, whose sum is σ = 330057924940800. Its totient is φ = 14485340160000.

The previous prime is 72946425824981. The next prime is 72946425825001. The reversal of 72946425825000 is 52852464927.

72946425825000 is a `hidden beast` number, since 7 + 2 + 9 + 4 + 6 + 4 + 2 + 582 + 50 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (72946425825001) 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 383 ways as a sum of consecutive naturals, for example, 1044190072 + ... + 1044259928.

It is an arithmetic number, because the mean of its divisors is an integer number (214881461550).

Almost surely, 2^{72946425825000} is an apocalyptic number.

72946425825000 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 72946425825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165028962470400).

72946425825000 is an abundant number, since it is smaller than the sum of its proper divisors (257111499115800).

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

72946425825000 is a wasteful number, since it uses less digits than its factorization.

72946425825000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69934 (or 69904 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 72946425825000 in words is "seventy-two trillion, nine hundred forty-six billion, four hundred twenty-five million, eight hundred twenty-five thousand".