73681128 has 72 divisors (see below), whose sum is σ = 212041830. Its totient is φ = 23109120.

The previous prime is 73681123. The next prime is 73681151. The reversal of 73681128 is 82118637.

It can be written as a sum of positive squares in 3 ways, for example, as 72284004 + 1397124 = 8502^2 + 1182^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×73681128³ (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 73681092 and 73681101.

It is not an unprimeable number, because it can be changed into a prime (73681123) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19038 + ... + 22578.

Almost surely, 2^73681128 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 73681128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106020915).

73681128 is an abundant number, since it is smaller than the sum of its proper divisors (138360702).

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

73681128 is a wasteful number, since it uses less digits than its factorization.

73681128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3563 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 73681128 is about 8583.7711991875. The cubic root of 73681128 is about 419.2297447233.

The spelling of 73681128 in words is "seventy-three million, six hundred eighty-one thousand, one hundred twenty-eight".