73720746432 has 210 divisors, whose sum is σ = 232147056152. Its totient is φ = 23127607296.

The previous prime is 73720746431. The next prime is 73720746457. The reversal of 73720746432 is 23464702737.

73720746432 is a `hidden beast` number, since 7 + 3 + 7 + 207 + 4 + 6 + 432 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73720746431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1473573 + ... + 1522779.

Almost surely, 2^73720746432 is an apocalyptic number.

73720746432 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 73720746432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116073528076).

73720746432 is an abundant number, since it is smaller than the sum of its proper divisors (158426309720).

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

73720746432 is a wasteful number, since it uses less digits than its factorization.

73720746432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49265 (or 49229 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 73720746432 in words is "seventy-three billion, seven hundred twenty million, seven hundred forty-six thousand, four hundred thirty-two".