73971720839280 has 320 divisors, whose sum is σ = 252003355752960. Its totient is φ = 17800366080000.

The previous prime is 73971720839279. The next prime is 73971720839281. The reversal of 73971720839280 is 8293802717937.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73971720839279) and next prime (73971720839281).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73971720839281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2569072564 + ... + 2569101356.

It is an arithmetic number, because the mean of its divisors is an integer number (787510486728).

Almost surely, 2^{73971720839280} 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 73971720839280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126001677876480).

73971720839280 is an abundant number, since it is smaller than the sum of its proper divisors (178031634913680).

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

73971720839280 is a wasteful number, since it uses less digits than its factorization.

73971720839280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35960 (or 35954 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 66.

The spelling of 73971720839280 in words is "seventy-three trillion, nine hundred seventy-one billion, seven hundred twenty million, eight hundred thirty-nine thousand, two hundred eighty".