73732792320 has 1344 divisors, whose sum is σ = 313767216000. Its totient is φ = 16349921280.

The previous prime is 73732792313. The next prime is 73732792321. The reversal of 73732792320 is 2329723737.

73732792320 is a `hidden beast` number, since 7 + 373 + 279 + 2 + 3 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73732792321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2542510066 + ... + 2542510094.

It is an arithmetic number, because the mean of its divisors is an integer number (233457750).

Almost surely, 2^73732792320 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 73732792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156883608000).

73732792320 is an abundant number, since it is smaller than the sum of its proper divisors (240034423680).

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

73732792320 is a wasteful number, since it uses less digits than its factorization.

73732792320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 45.

The spelling of 73732792320 in words is "seventy-three billion, seven hundred thirty-two million, seven hundred ninety-two thousand, three hundred twenty".