73881720 has 192 divisors, whose sum is σ = 272039040. Its totient is φ = 17884800.

The previous prime is 73881719. The next prime is 73881721. The reversal of 73881720 is 2718837.

It is an interprime number because it is at equal distance from previous prime (73881719) and next prime (73881721).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73881721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 106575 + ... + 107265.

It is an arithmetic number, because the mean of its divisors is an integer number (1416870).

Almost surely, 2^73881720 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 73881720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136019520).

73881720 is an abundant number, since it is smaller than the sum of its proper divisors (198157320).

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

73881720 is a wasteful number, since it uses less digits than its factorization.

73881720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 73881720 is about 8595.4476323226. The cubic root of 73881720 is about 419.6098417571.

It can be divided in two parts, 738817 and 20, that added together give a palindrome (738837).

The spelling of 73881720 in words is "seventy-three million, eight hundred eighty-one thousand, seven hundred twenty".