73881120 has 96 divisors (see below), whose sum is σ = 245004480. Its totient is φ = 18662400.

The previous prime is 73881089. The next prime is 73881121. The reversal of 73881120 is 2118837.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (73881121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5070 + ... + 13170.

It is an arithmetic number, because the mean of its divisors is an integer number (2552130).

Almost surely, 2^73881120 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 73881120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122502240).

73881120 is an abundant number, since it is smaller than the sum of its proper divisors (171123360).

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

73881120 is a wasteful number, since it uses less digits than its factorization.

73881120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8138 (or 8130 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 73881120 is about 8595.4127300555. The cubic root of 73881120 is about 419.6087058577.

Adding to 73881120 its reverse (2118837), we get a palindrome (75999957).

The spelling of 73881120 in words is "seventy-three million, eight hundred eighty-one thousand, one hundred twenty".