73135728 has 60 divisors (see below), whose sum is σ = 206294088. Its totient is φ = 24186240.

The previous prime is 73135723. The next prime is 73135739. The reversal of 73135728 is 82753137.

73135728 is a `hidden beast` number, since 73 + 13 + 572 + 8 = 666.

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 = 73135692 and 73135701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73135723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16926 + ... + 20802.

Almost surely, 2^73135728 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 73135728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103147044).

73135728 is an abundant number, since it is smaller than the sum of its proper divisors (133158360).

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

73135728 is a wasteful number, since it uses less digits than its factorization.

73135728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4013 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 73135728 is about 8551.9429371342. The cubic root of 73135728 is about 418.1927790677.

It can be divided in two parts, 7313 and 5728, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 73135728 in words is "seventy-three million, one hundred thirty-five thousand, seven hundred twenty-eight".