73960128 has 140 divisors (see below), whose sum is σ = 239356392. Its totient is φ = 22394880.

The previous prime is 73960127. The next prime is 73960147. The reversal of 73960128 is 82106937.

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 = 73960092 and 73960101.

It is not an unprimeable number, because it can be changed into a prime (73960123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56376 + ... + 57672.

Almost surely, 2^73960128 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 73960128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119678196).

73960128 is an abundant number, since it is smaller than the sum of its proper divisors (165396264).

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

73960128 is a wasteful number, since it uses less digits than its factorization.

73960128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 73960128 is about 8600.0074418572. The cubic root of 73960128 is about 419.7582281984.

It can be divided in two parts, 73960 and 128, that added together give a cube (74088 = 42³).

The spelling of 73960128 in words is "seventy-three million, nine hundred sixty thousand, one hundred twenty-eight".