73725137280 has 320 divisors, whose sum is σ = 269715156480. Its totient is φ = 19179970560.

The previous prime is 73725137279. The next prime is 73725137309. The reversal of 73725137280 is 8273152737.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2108097 + ... + 2142783.

It is an arithmetic number, because the mean of its divisors is an integer number (842859864).

Almost surely, 2^73725137280 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 73725137280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134857578240).

73725137280 is an abundant number, since it is smaller than the sum of its proper divisors (195990019200).

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

73725137280 is a wasteful number, since it uses less digits than its factorization.

73725137280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34759 (or 34738 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 73725137280 in words is "seventy-three billion, seven hundred twenty-five million, one hundred thirty-seven thousand, two hundred eighty".