73916928432 has 200 divisors, whose sum is σ = 216084607200. Its totient is φ = 24392862720.

The previous prime is 73916928419. The next prime is 73916928469. The reversal of 73916928432 is 23482961937.

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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97130932 + ... + 97131692.

It is an arithmetic number, because the mean of its divisors is an integer number (1080423036).

Almost surely, 2^73916928432 is an apocalyptic number.

73916928432 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 73916928432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108042303600).

73916928432 is an abundant number, since it is smaller than the sum of its proper divisors (142167678768).

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

73916928432 is a wasteful number, since it uses less digits than its factorization.

73916928432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1418 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 73916928432 in words is "seventy-three billion, nine hundred sixteen million, nine hundred twenty-eight thousand, four hundred thirty-two".