72755320 has 128 divisors (see below), whose sum is σ = 189604800. Its totient is φ = 24883200.

The previous prime is 72755317. The next prime is 72755327. The reversal of 72755320 is 2355727.

72755320 = T₁₀₈₉ + T₁₀₉₀ + ... + T₁₁₉₉.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72755327) 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 31 ways as a sum of consecutive naturals, for example, 667426 + ... + 667534.

Almost surely, 2^72755320 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 72755320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94802400).

72755320 is an abundant number, since it is smaller than the sum of its proper divisors (116849480).

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

72755320 is a wasteful number, since it uses less digits than its factorization.

72755320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 31.

The square root of 72755320 is about 8529.6729128379. The cubic root of 72755320 is about 417.4664560044.

The spelling of 72755320 in words is "seventy-two million, seven hundred fifty-five thousand, three hundred twenty".