73238315472000 has 1536 divisors, whose sum is σ = 303319737676800. Its totient is φ = 16588932710400.

The previous prime is 73238315471819. The next prime is 73238315472017. The reversal of 73238315472000 is 27451383237.

It is a happy number.

73238315472000 is a `hidden beast` number, since 7 + 3 + 2 + 3 + 83 + 1 + 547 + 20 + 0 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 79693487541 + ... + 79693488459.

It is an arithmetic number, because the mean of its divisors is an integer number (197473787550).

Almost surely, 2^{73238315472000} is an apocalyptic number.

73238315472000 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 73238315472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151659868838400).

73238315472000 is an abundant number, since it is smaller than the sum of its proper divisors (230081422204800).

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

73238315472000 is a wasteful number, since it uses less digits than its factorization.

73238315472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 73238315472000 in words is "seventy-three trillion, two hundred thirty-eight billion, three hundred fifteen million, four hundred seventy-two thousand".