73073689920 has 2240 divisors, whose sum is σ = 356888125440. Its totient is φ = 13735526400.

The previous prime is 73073689889. The next prime is 73073689957. The reversal of 73073689920 is 2998637037.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1554759337 + ... + 1554759383.

It is an arithmetic number, because the mean of its divisors is an integer number (159325056).

Almost surely, 2^73073689920 is an apocalyptic number.

73073689920 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 73073689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178444062720).

73073689920 is an abundant number, since it is smaller than the sum of its proper divisors (283814435520).

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

73073689920 is a wasteful number, since it uses less digits than its factorization.

73073689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 73073689920 in words is "seventy-three billion, seventy-three million, six hundred eighty-nine thousand, nine hundred twenty".