73520568 has 192 divisors, whose sum is σ = 234612000. Its totient is φ = 21288960.

The previous prime is 73520567. The next prime is 73520569. The reversal of 73520568 is 86502537.

73520568 is a `hidden beast` number, since 73 + 5 + 20 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (73520567) and next prime (73520569).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73520567) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 757896 + ... + 757992.

Almost surely, 2^73520568 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 73520568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117306000).

73520568 is an abundant number, since it is smaller than the sum of its proper divisors (161091432).

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

73520568 is a wasteful number, since it uses less digits than its factorization.

73520568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 73520568 is about 8574.4135659531. The cubic root of 73520568 is about 418.9250059921.

It can be divided in two parts, 73520 and 568, that added together give a cube (74088 = 42³).

The spelling of 73520568 in words is "seventy-three million, five hundred twenty thousand, five hundred sixty-eight".