73153808 has 80 divisors (see below), whose sum is σ = 178321920. Its totient is φ = 28297728.

The previous prime is 73153807. The next prime is 73153841. The reversal of 73153808 is 80835137.

It is a Cunningham number, because it is equal to 8553²-1.

It is a super-3 number, since 3×73153808³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (73153807) 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 15 ways as a sum of consecutive naturals, for example, 67898 + ... + 68966.

It is an arithmetic number, because the mean of its divisors is an integer number (2229024).

Almost surely, 2^73153808 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 73153808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89160960).

73153808 is an abundant number, since it is smaller than the sum of its proper divisors (105168112).

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

73153808 is a wasteful number, since it uses less digits than its factorization.

73153808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 73153808 is about 8552.9999415410. Note that the first 4 decimals coincide. The cubic root of 73153808 is about 418.2272369298.

The spelling of 73153808 in words is "seventy-three million, one hundred fifty-three thousand, eight hundred eight".