73751652000 has 576 divisors, whose sum is σ = 286763742720. Its totient is φ = 17839872000.

The previous prime is 73751651969. The next prime is 73751652001. The reversal of 73751652000 is 25615737.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73751652001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27610665 + ... + 27613335.

It is an arithmetic number, because the mean of its divisors is an integer number (497853720).

Almost surely, 2^73751652000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73751652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143381871360).

73751652000 is an abundant number, since it is smaller than the sum of its proper divisors (213012090720).

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

73751652000 is a wasteful number, since it uses less digits than its factorization.

73751652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 73751652000 in words is "seventy-three billion, seven hundred fifty-one million, six hundred fifty-two thousand".