73733673720 has 128 divisors (see below), whose sum is σ = 252952035840. Its totient is φ = 16843353600.

The previous prime is 73733673719. The next prime is 73733673721. The reversal of 73733673720 is 2737633737.

It is an interprime number because it is at equal distance from previous prime (73733673719) and next prime (73733673721).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 73733673720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73733673721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1430395 + ... + 1481045.

It is an arithmetic number, because the mean of its divisors is an integer number (1976187780).

Almost surely, 2^73733673720 is an apocalyptic number.

73733673720 is a gapful number since it is divisible by the number (70) 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 73733673720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126476017920).

73733673720 is an abundant number, since it is smaller than the sum of its proper divisors (179218362120).

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

73733673720 is a wasteful number, since it uses less digits than its factorization.

73733673720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52405 (or 52401 counting only the distinct ones).

The product of its (nonzero) digits is 2333772, while the sum is 48.

The spelling of 73733673720 in words is "seventy-three billion, seven hundred thirty-three million, six hundred seventy-three thousand, seven hundred twenty".