73038766752 has 288 divisors, whose sum is σ = 242310991104. Its totient is φ = 20437401600.

The previous prime is 73038766747. The next prime is 73038766771. The reversal of 73038766752 is 25766783037.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×73038766752² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31603677 + ... + 31605987.

It is an arithmetic number, because the mean of its divisors is an integer number (841357608).

Almost surely, 2^73038766752 is an apocalyptic number.

73038766752 is a gapful number since it is divisible by the number (72) 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 73038766752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121155495552).

73038766752 is an abundant number, since it is smaller than the sum of its proper divisors (169272224352).

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

73038766752 is a wasteful number, since it uses less digits than its factorization.

73038766752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 73038766752 in words is "seventy-three billion, thirty-eight million, seven hundred sixty-six thousand, seven hundred fifty-two".