73920000000 has 832 divisors, whose sum is σ = 307161713664. Its totient is φ = 15360000000.

The previous prime is 73919999983. The next prime is 73920000097. The reversal of 73920000000 is 2937.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6719999995 + ... + 6720000005.

It is an arithmetic number, because the mean of its divisors is an integer number (369184752).

Almost surely, 2^73920000000 is an apocalyptic number.

73920000000 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 73920000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153580856832).

73920000000 is an abundant number, since it is smaller than the sum of its proper divisors (233241713664).

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

73920000000 is an frugal number, since it uses more digits than its factorization.

73920000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

Adding to 73920000000 its reverse (2937), we get a palindrome (73920002937).

The spelling of 73920000000 in words is "seventy-three billion, nine hundred twenty million", and thus it is an aban number.