73255728 has 160 divisors (see below), whose sum is σ = 240873472. Its totient is φ = 18662400.

The previous prime is 73255691. The next prime is 73255733. The reversal of 73255728 is 82755237.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 135138 + ... + 135678.

Almost surely, 2^73255728 is an apocalyptic number.

73255728 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73255728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120436736).

73255728 is an abundant number, since it is smaller than the sum of its proper divisors (167617744).

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

73255728 is a wasteful number, since it uses less digits than its factorization.

73255728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 597 counting only the distinct ones).

The product of its digits is 117600, while the sum is 39.

The square root of 73255728 is about 8558.9560111032. The cubic root of 73255728 is about 418.4213755566.

The spelling of 73255728 in words is "seventy-three million, two hundred fifty-five thousand, seven hundred twenty-eight".