73940503728 has 240 divisors, whose sum is σ = 239624933856. Its totient is φ = 19473592320.

The previous prime is 73940503711. The next prime is 73940503781. The reversal of 73940503728 is 82730504937.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 31583838 + ... + 31586178.

Almost surely, 2^73940503728 is an apocalyptic number.

73940503728 is a gapful number since it is divisible by the number (78) 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 73940503728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119812466928).

73940503728 is an abundant number, since it is smaller than the sum of its proper divisors (165684430128).

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

73940503728 is a wasteful number, since it uses less digits than its factorization.

73940503728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 73940503728 in words is "seventy-three billion, nine hundred forty million, five hundred three thousand, seven hundred twenty-eight".