73156608 has 252 divisors, whose sum is σ = 255122595. Its totient is φ = 20901888.

The previous prime is 73156597. The next prime is 73156609. The reversal of 73156608 is 80665137.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 36578304 + 36578304 = 6048^2 + 6048^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6048.

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

It is not an unprimeable number, because it can be changed into a prime (73156609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 10450941 + ... + 10450947.

Almost surely, 2^73156608 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 73156608

73156608 is an abundant number, since it is smaller than the sum of its proper divisors (181965987).

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

73156608 is an frugal number, since it uses more digits than its factorization.

73156608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 73156608 is about 8553.1636252325. The cubic root of 73156608 is about 418.2325728166.

The spelling of 73156608 in words is "seventy-three million, one hundred fifty-six thousand, six hundred eight".